diff --git a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/Checks.java b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/Checks.java
index 91a6649ff63..7b034b249a7 100644
--- a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/Checks.java	
+++ b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/Checks.java	
@@ -1,5 +1,5 @@
 /*******************************************************************************
- * Copyright (c) 2000, 2021 IBM Corporation and others.
+ * Copyright (c) 2000, 2024 IBM Corporation and others.
  *
  * This program and the accompanying materials
  * are made available under the terms of the Eclipse Public License 2.0
@@ -36,7 +36,9 @@
 import org.eclipse.ltk.core.refactoring.participants.CheckConditionsContext;
 import org.eclipse.ltk.core.refactoring.participants.ResourceChangeChecker;
 
+import org.eclipse.jdt.core.Flags;
 import org.eclipse.jdt.core.ICompilationUnit;
+import org.eclipse.jdt.core.IImportDeclaration;
 import org.eclipse.jdt.core.IJavaElement;
 import org.eclipse.jdt.core.IJavaModelMarker;
 import org.eclipse.jdt.core.IJavaProject;
@@ -50,13 +52,16 @@
 import org.eclipse.jdt.core.JavaModelException;
 import org.eclipse.jdt.core.Signature;
 import org.eclipse.jdt.core.dom.ASTNode;
+import org.eclipse.jdt.core.dom.ASTParser;
 import org.eclipse.jdt.core.dom.Annotation;
 import org.eclipse.jdt.core.dom.AnonymousClassDeclaration;
+import org.eclipse.jdt.core.dom.CompilationUnit;
 import org.eclipse.jdt.core.dom.Expression;
 import org.eclipse.jdt.core.dom.IBinding;
 import org.eclipse.jdt.core.dom.IMethodBinding;
 import org.eclipse.jdt.core.dom.ITypeBinding;
 import org.eclipse.jdt.core.dom.IVariableBinding;
+import org.eclipse.jdt.core.dom.ImportDeclaration;
 import org.eclipse.jdt.core.dom.Name;
 import org.eclipse.jdt.core.dom.SwitchCase;
 import org.eclipse.jdt.core.dom.VariableDeclaration;
@@ -67,6 +72,7 @@
 import org.eclipse.jdt.internal.core.manipulation.util.BasicElementLabels;
 import org.eclipse.jdt.internal.corext.dom.ASTNodes;
 import org.eclipse.jdt.internal.corext.dom.Bindings;
+import org.eclipse.jdt.internal.corext.dom.IASTSharedValues;
 import org.eclipse.jdt.internal.corext.refactoring.base.RefactoringStatusCodes;
 import org.eclipse.jdt.internal.corext.refactoring.util.JavaElementUtil;
 import org.eclipse.jdt.internal.corext.refactoring.util.JavaStatusContext;
@@ -908,4 +914,46 @@ public static boolean isDeclaredIn(VariableDeclaration tempDeclaration, Class<?
 			return false;
 		return true;
 	}
+
+	private static  CompilationUnit convertICUtoCU(ICompilationUnit compilationUnit) {
+		ASTParser parser= ASTParser.newParser(IASTSharedValues.SHARED_AST_LEVEL);
+		parser.setKind(ASTParser.K_COMPILATION_UNIT);
+		parser.setSource(compilationUnit);
+		parser.setResolveBindings(true);
+
+		return (CompilationUnit) parser.createAST(null);
+	}
+
+	public static IImportDeclaration findMatchingStaticMethodImport(IMethod method, String newName) {
+		if (method.getCompilationUnit() != null) {
+			try {
+				IImportDeclaration[] imports=method.getCompilationUnit().getImports();
+				CompilationUnit cu= null;
+				for (IImportDeclaration importDecl : imports) {
+					if (Flags.isStatic(importDecl.getFlags())) {
+						String importName= importDecl.getElementName();
+						String[] fragments= importName.split("\\."); //$NON-NLS-1$
+						if (fragments.length > 0 && newName.equals(fragments[fragments.length - 1])) {
+							cu= convertICUtoCU(method.getCompilationUnit());
+							if (cu != null) {
+								List<ImportDeclaration> importList= cu.imports();
+								for (ImportDeclaration importListDecl : importList) {
+									if (importListDecl.getName().getFullyQualifiedName().equals(importName)) {
+										IBinding binding= importListDecl.resolveBinding();
+										if (binding instanceof IMethodBinding) {
+											return importDecl;
+										}
+									}
+								}
+							}
+							return null;
+						}
+					}
+				}
+			} catch (JavaModelException e) {
+				// do nothing
+			}
+		}
+		return null;
+	}
 }
diff --git a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/RefactoringCoreMessages.java b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/RefactoringCoreMessages.java
index d1200148d0c..f0192bf1de8 100644
--- a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/RefactoringCoreMessages.java	
+++ b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/RefactoringCoreMessages.java	
@@ -1809,6 +1809,10 @@ public final class RefactoringCoreMessages extends NLS {
 
 	public static String RenameMethodRefactoring_not_in_model;
 
+	public static String RenameMethodRefactoring_overrides_static_name;
+
+	public static String RenameMethodRefactoring_overrides_static_name2;
+
 	public static String RenameMethodRefactoring_same_name;
 
 	public static String RenameMethodRefactoring_same_name2;
diff --git a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/refactoring.properties b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/refactoring.properties
index 41b2fcb34bf..da30c75eba0 100644
--- a/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/refactoring.properties	
+++ b/org.eclipse.jdt.core.manipulation/core extension/org/eclipse/jdt/internal/corext/refactoring/refactoring.properties	
@@ -473,7 +473,9 @@ RenameMethodRefactoring_no_native=Renaming native methods will cause an unsatisf
 RenameMethodRefactoring_no_native_1=Related method ''{0}'' (declared in ''{1}'') is native. Renaming will cause an UnsatisfiedLinkError on runtime.
 RenameMethodRefactoring_no_read_only=Related method ''{0}'' (declared in ''{1}'') is read-only. Refactoring cannot be performed.
 RenameMethodRefactoring_not_in_model=Related method ''{0}'' (declared in ''{1}'') does not exist in the model.
-RenameMethodRefactoring_same_name=This name already exists.
+RenameMethodRefactoring_overrides_static_name=This name collides with a static import name.
+RenameMethodRefactoring_overrides_static_name2=The static import ''{0}'' in type ''{1}'' already has the assigned name.
+enameMethodRefactoring_same_name=This name already exists.
 RenameMethodRefactoring_same_name2=The method ''{0}'' in type ''{1}'' already has the assigned name.
 RenameMethodRefactoring_update_occurrence=Update method reference
 RenameMethodRefactoring_update_declaration=Update method declaration
diff --git a/org.eclipse.jdt.core.manipulation/refactoring/org/eclipse/jdt/internal/corext/refactoring/rename/RenameMethodProcessor.java b/org.eclipse.jdt.core.manipulation/refactoring/org/eclipse/jdt/internal/corext/refactoring/rename/RenameMethodProcessor.java
index 11d8dfc503f..d0dd903cc25 100644
--- a/org.eclipse.jdt.core.manipulation/refactoring/org/eclipse/jdt/internal/corext/refactoring/rename/RenameMethodProcessor.java
+++ b/org.eclipse.jdt.core.manipulation/refactoring/org/eclipse/jdt/internal/corext/refactoring/rename/RenameMethodProcessor.java
@@ -1,5 +1,5 @@
 /*******************************************************************************
- * Copyright (c) 2000, 2023 IBM Corporation and others.
+ * Copyright (c) 2000, 2024 IBM Corporation and others.
  *
  * This program and the accompanying materials
  * are made available under the terms of the Eclipse Public License 2.0
@@ -232,6 +232,13 @@ public final RefactoringStatus checkNewElementName(String newName) {
 					? Messages.format(RefactoringCoreMessages.RenameMethodRefactoring_same_name2, new String[] { BasicElementLabels.getJavaElementName(newName), getDeclaringTypeLabel() } )
 					: RefactoringCoreMessages.RenameMethodRefactoring_same_name,
 					JavaStatusContext.create(fMethod));
+
+		if (Checks.findMatchingStaticMethodImport(fMethod, newName) != null) {
+			status.addFatalError(fIsComposite
+					? Messages.format(RefactoringCoreMessages.RenameMethodRefactoring_overrides_static_name2, new String[] { BasicElementLabels.getJavaElementName(newName), getDeclaringTypeLabel() } )
+					: RefactoringCoreMessages.RenameMethodRefactoring_overrides_static_name,
+					JavaStatusContext.create(Checks.findMatchingStaticMethodImport(fMethod, newName)));
+		}
 		return status;
 	}
 	private String getDeclaringTypeLabel() {
diff --git a/org.eclipse.jdt.ui.tests.refactoring/resources/RenamePrivateMethod/testIssue1361/in/A.java b/org.eclipse.jdt.ui.tests.refactoring/resources/RenamePrivateMethod/testIssue1361/in/A.java
new file mode 100644
index 00000000000..f962bff3feb
--- /dev/null
+++ b/org.eclipse.jdt.ui.tests.refactoring/resources/RenamePrivateMethod/testIssue1361/in/A.java
@@ -0,0 +1,9 @@
+package p;
+
+import static java.lang.String.valueOf;
+
+public class A {
+	private String foo(int x) {
+		return valueOf(x);
+	}
+}
\ No newline at end of file
diff --git a/org.eclipse.jdt.ui.tests.refactoring/test cases/org/eclipse/jdt/ui/tests/refactoring/RenamePrivateMethodTests.java b/org.eclipse.jdt.ui.tests.refactoring/test cases/org/eclipse/jdt/ui/tests/refactoring/RenamePrivateMethodTests.java
index fad4cfc5a7a..af72be34a06 100644
--- a/org.eclipse.jdt.ui.tests.refactoring/test cases/org/eclipse/jdt/ui/tests/refactoring/RenamePrivateMethodTests.java	
+++ b/org.eclipse.jdt.ui.tests.refactoring/test cases/org/eclipse/jdt/ui/tests/refactoring/RenamePrivateMethodTests.java	
@@ -1,5 +1,5 @@
 /*******************************************************************************
- * Copyright (c) 2000, 2020 IBM Corporation and others.
+ * Copyright (c) 2000, 2024 IBM Corporation and others.
  *
  * This program and the accompanying materials
  * are made available under the terms of the Eclipse Public License 2.0
@@ -131,6 +131,11 @@ public void testFail5() throws Exception{
 		helper1();
 	}
 
+	@Test
+	public void testIssue1361() throws Exception{
+		helper1_0("foo", "valueOf", new String[0]);
+	}
+
 	@Test
 	public void test0() throws Exception{
 		helper2();