diff --git a/graph/traverse/bf_iterator.go b/graph/traverse/bf_iterator.go
new file mode 100644
index 0000000..12932f4
--- /dev/null
+++ b/graph/traverse/bf_iterator.go
@@ -0,0 +1,65 @@
+package traverse
+
+import "github.com/hmdsefi/gograph/graph"
+
+type breadthFirstIterator[T comparable] struct {
+	graph   graph.Graph[T]
+	start   T
+	queue   []T
+	visited map[T]bool
+	head    int
+}
+
+func NewBreadthFirstIterator[T comparable](g graph.Graph[T], start T) Iterator[T] {
+	return newBreadthFirstIterator[T](g, start)
+}
+
+func newBreadthFirstIterator[T comparable](g graph.Graph[T], start T) *breadthFirstIterator[T] {
+	return &breadthFirstIterator[T]{
+		graph:   g,
+		start:   start,
+		queue:   []T{start},
+		visited: make(map[T]bool),
+		head:    -1,
+	}
+}
+
+func (d *breadthFirstIterator[T]) HasNext() bool {
+	return d.head < len(d.queue)-1
+}
+
+func (d *breadthFirstIterator[T]) Next() *graph.Vertex[T] {
+	d.head++
+
+	// get the next vertex from the queue
+	currentNode := d.graph.GetVertexByID(d.queue[d.head])
+
+	// mark the vertex as visited
+
+	// add unvisited neighbors to the queue
+	neighbors := currentNode.Neighbors()
+	for _, neighbor := range neighbors {
+		if !d.visited[neighbor.Label()] {
+			d.visited[neighbor.Label()] = true
+			d.queue = append(d.queue, neighbor.Label())
+		}
+	}
+
+	return currentNode
+}
+
+func (d *breadthFirstIterator[T]) Iterate(f func(v *graph.Vertex[T]) error) error {
+	for d.HasNext() {
+		if err := f(d.Next()); err != nil {
+			return err
+		}
+	}
+
+	return nil
+}
+
+func (d *breadthFirstIterator[T]) Reset() {
+	d.queue = []T{d.start}
+	d.head = -1
+	d.visited = make(map[T]bool)
+}
diff --git a/graph/traverse/bf_iterator_test.go b/graph/traverse/bf_iterator_test.go
new file mode 100644
index 0000000..9f6bf65
--- /dev/null
+++ b/graph/traverse/bf_iterator_test.go
@@ -0,0 +1,83 @@
+package traverse
+
+import (
+	"reflect"
+	"testing"
+
+	"github.com/hmdsefi/gograph/graph"
+)
+
+func TestBreadthFirstIterator(t *testing.T) {
+	// Create a new graph
+	g := graph.NewDirectedGraph[string]()
+
+	// the example graph
+	//	A -> B -> C
+	//	|    |    |
+	//	v    v    v
+	//	D -> E -> F
+
+	vertices := map[string]*graph.Vertex[string]{
+		"A": g.AddVertexByLabel("A"),
+		"B": g.AddVertexByLabel("B"),
+		"C": g.AddVertexByLabel("C"),
+		"D": g.AddVertexByLabel("D"),
+		"E": g.AddVertexByLabel("E"),
+		"F": g.AddVertexByLabel("F"),
+	}
+
+	// Add some edges
+	_, _ = g.AddEdge(vertices["A"], vertices["B"])
+	_, _ = g.AddEdge(vertices["A"], vertices["D"])
+	_, _ = g.AddEdge(vertices["B"], vertices["C"])
+	_, _ = g.AddEdge(vertices["B"], vertices["E"])
+	_, _ = g.AddEdge(vertices["C"], vertices["F"])
+	_, _ = g.AddEdge(vertices["D"], vertices["E"])
+	_, _ = g.AddEdge(vertices["E"], vertices["F"])
+
+	// Test depth first iteration
+	iter := newBreadthFirstIterator[string](g, "A")
+	expected := []string{"A", "B", "D", "C", "E", "F"}
+
+	for i, label := range expected {
+		if !iter.HasNext() {
+			t.Errorf("Expected iter.HasNext() to be true, but it was false for label %s", label)
+		}
+
+		v := iter.Next()
+		if v.Label() != expected[i] {
+			t.Errorf("Expected iter.Next().Label() to be %s, but got %s", expected[i], v.Label())
+		}
+	}
+
+	if iter.HasNext() {
+		t.Error("Expected iter.HasNext() to be false, but it was true")
+	}
+
+	// test the Reset method
+	iter.Reset()
+	if !iter.HasNext() {
+		t.Error("Expected iter.HasNext() to be true, but it was false after reset")
+	}
+
+	v := iter.Next()
+	if v.Label() != "A" {
+		t.Errorf("Expected iter.Next().Label() to be %s, but got %s", "A", v.Label())
+	}
+
+	// test Iterate method
+	iter.Reset()
+	var ordered []string
+	err := iter.Iterate(func(vertex *graph.Vertex[string]) error {
+		ordered = append(ordered, vertex.Label())
+		return nil
+	})
+	if err != nil {
+		t.Errorf("Expect iter.Iterate(func) returns no error, but got one %s", err)
+	}
+
+	if !reflect.DeepEqual(expected, ordered) {
+		t.Errorf("Expect same vertex order, but got different one expected: %v, actual: %v",
+			expected, ordered)
+	}
+}
diff --git a/graph/traverse/dfs_iterator.go b/graph/traverse/df_iterator.go
similarity index 92%
rename from graph/traverse/dfs_iterator.go
rename to graph/traverse/df_iterator.go
index dc73fb0..3887086 100644
--- a/graph/traverse/dfs_iterator.go
+++ b/graph/traverse/df_iterator.go
@@ -23,11 +23,11 @@ func newDepthFirstIterator[T comparable](g graph.Graph[T], start T) *depthFirstI
 }
 
 func (d *depthFirstIterator[T]) HasNext() bool {
-	return len(d.stack) != 0
+	return len(d.stack) > 0
 }
 
 func (d *depthFirstIterator[T]) Next() *graph.Vertex[T] {
-	// get the next vertex from the stack
+	// get the next vertex from the queue
 	label := d.stack[len(d.stack)-1]
 	d.stack = d.stack[:len(d.stack)-1]
 	currentNode := d.graph.GetVertexByID(label)
@@ -35,7 +35,7 @@ func (d *depthFirstIterator[T]) Next() *graph.Vertex[T] {
 	// mark the vertex as visited
 	d.visited[label] = true
 
-	// add unvisited neighbors to the stack
+	// add unvisited neighbors to the queue
 	neighbors := currentNode.Neighbors()
 	for _, neighbor := range neighbors {
 		if !d.visited[neighbor.Label()] {
diff --git a/graph/traverse/dfs_iterator_test.go b/graph/traverse/df_iterator_test.go
similarity index 100%
rename from graph/traverse/dfs_iterator_test.go
rename to graph/traverse/df_iterator_test.go
diff --git a/graph/traverse/iterate.go b/graph/traverse/iterator.go
similarity index 100%
rename from graph/traverse/iterate.go
rename to graph/traverse/iterator.go