diff --git a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/DurationFormat.java b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/DurationFormat.java
index 116a780833d3..3f53a2368bb8 100644
--- a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/DurationFormat.java
+++ b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/DurationFormat.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2012-2019 the original author or authors.
+ * Copyright 2012-2020 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -30,7 +30,7 @@
  * @author Phillip Webb
  * @since 2.0.0
  */
-@Target(ElementType.FIELD)
+@Target({ ElementType.FIELD, ElementType.PARAMETER })
 @Retention(RetentionPolicy.RUNTIME)
 @Documented
 public @interface DurationFormat {
diff --git a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/PeriodFormat.java b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/PeriodFormat.java
index 45d45183b812..48f6537dbce8 100644
--- a/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/PeriodFormat.java
+++ b/spring-boot-project/spring-boot/src/main/java/org/springframework/boot/convert/PeriodFormat.java
@@ -31,7 +31,7 @@
  * @author Edson Chávez
  * @since 2.3.0
  */
-@Target(ElementType.FIELD)
+@Target({ ElementType.FIELD, ElementType.PARAMETER })
 @Retention(RetentionPolicy.RUNTIME)
 @Documented
 public @interface PeriodFormat {
diff --git a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/context/properties/ConfigurationPropertiesTests.java b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/context/properties/ConfigurationPropertiesTests.java
index e1e289baf67e..02c50d918142 100644
--- a/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/context/properties/ConfigurationPropertiesTests.java
+++ b/spring-boot-project/spring-boot/src/test/java/org/springframework/boot/context/properties/ConfigurationPropertiesTests.java
@@ -56,7 +56,11 @@
 import org.springframework.boot.context.properties.bind.validation.BindValidationException;
 import org.springframework.boot.context.properties.source.ConfigurationPropertyName;
 import org.springframework.boot.convert.DataSizeUnit;
+import org.springframework.boot.convert.DurationFormat;
+import org.springframework.boot.convert.DurationStyle;
 import org.springframework.boot.convert.DurationUnit;
+import org.springframework.boot.convert.PeriodFormat;
+import org.springframework.boot.convert.PeriodStyle;
 import org.springframework.boot.convert.PeriodUnit;
 import org.springframework.boot.testsupport.system.CapturedOutput;
 import org.springframework.boot.testsupport.system.OutputCaptureExtension;
@@ -808,6 +812,51 @@ void loadWhenBindingToConstructorParametersWithDefaultDataUnitShouldBind() {
 		assertThat(bean.getPeriod()).isEqualTo(Period.ofYears(4));
 	}
 
+	@Test
+	void loadWhenBindingToConstructorParametersWithCustomDataFormatShouldBind() {
+		MutablePropertySources sources = this.context.getEnvironment().getPropertySources();
+		Map<String, Object> source = new HashMap<>();
+		source.put("test.duration", "12d");
+		source.put("test.period", "13y");
+		sources.addLast(new MapPropertySource("test", source));
+		load(ConstructorParameterWithFormatConfiguration.class);
+		ConstructorParameterWithFormatProperties bean = this.context
+				.getBean(ConstructorParameterWithFormatProperties.class);
+		assertThat(bean.getDuration()).isEqualTo(Duration.ofDays(12));
+		assertThat(bean.getPeriod()).isEqualTo(Period.ofYears(13));
+	}
+
+	@Test
+	void loadWhenBindingToConstructorParametersWithNotMatchingCustomDurationFormatShouldFail() {
+		MutablePropertySources sources = this.context.getEnvironment().getPropertySources();
+		Map<String, Object> source = new HashMap<>();
+		source.put("test.duration", "P12D");
+		sources.addLast(new MapPropertySource("test", source));
+		assertThatExceptionOfType(Exception.class)
+				.isThrownBy(() -> load(ConstructorParameterWithFormatConfiguration.class)).havingCause()
+				.isInstanceOf(BindException.class);
+	}
+
+	@Test
+	void loadWhenBindingToConstructorParametersWithNotMatchingCustomPeriodFormatShouldFail() {
+		MutablePropertySources sources = this.context.getEnvironment().getPropertySources();
+		Map<String, Object> source = new HashMap<>();
+		source.put("test.period", "P12D");
+		sources.addLast(new MapPropertySource("test", source));
+		assertThatExceptionOfType(Exception.class)
+				.isThrownBy(() -> load(ConstructorParameterWithFormatConfiguration.class)).havingCause()
+				.isInstanceOf(BindException.class);
+	}
+
+	@Test
+	void loadWhenBindingToConstructorParametersWithDefaultDataFormatShouldBind() {
+		load(ConstructorParameterWithFormatConfiguration.class);
+		ConstructorParameterWithFormatProperties bean = this.context
+				.getBean(ConstructorParameterWithFormatProperties.class);
+		assertThat(bean.getDuration()).isEqualTo(Duration.ofDays(2));
+		assertThat(bean.getPeriod()).isEqualTo(Period.ofYears(3));
+	}
+
 	@Test
 	void loadWhenBindingToConstructorParametersShouldValidate() {
 		assertThatExceptionOfType(Exception.class)
@@ -2007,6 +2056,31 @@ Period getPeriod() {
 
 	}
 
+	@ConstructorBinding
+	@ConfigurationProperties(prefix = "test")
+	static class ConstructorParameterWithFormatProperties {
+
+		private final Duration duration;
+
+		private final Period period;
+
+		ConstructorParameterWithFormatProperties(
+				@DefaultValue("2d") @DurationFormat(DurationStyle.SIMPLE) Duration duration,
+				@DefaultValue("3y") @PeriodFormat(PeriodStyle.SIMPLE) Period period) {
+			this.duration = duration;
+			this.period = period;
+		}
+
+		Duration getDuration() {
+			return this.duration;
+		}
+
+		Period getPeriod() {
+			return this.period;
+		}
+
+	}
+
 	@ConstructorBinding
 	@ConfigurationProperties(prefix = "test")
 	@Validated
@@ -2035,6 +2109,11 @@ static class ConstructorParameterWithUnitConfiguration {
 
 	}
 
+	@EnableConfigurationProperties(ConstructorParameterWithFormatProperties.class)
+	static class ConstructorParameterWithFormatConfiguration {
+
+	}
+
 	@EnableConfigurationProperties(ConstructorParameterValidatedProperties.class)
 	static class ConstructorParameterValidationConfiguration {