diff --git a/src/graph_impl/mod.rs b/src/graph_impl/mod.rs
index 6ed3d3e..c439633 100644
--- a/src/graph_impl/mod.rs
+++ b/src/graph_impl/mod.rs
@@ -854,9 +854,10 @@
         }
     }
 
-    /// Return an iterator over all edges connecting `a` and `b`.
+    /// Return an iterator over all the edges connecting `a` and `b`.
     ///
-    /// - `Directed` and `Undirected`: All edges connecting `a` and `b`.
+    /// - `Directed`: Outgoing edges from `a`.
+    /// - `Undirected`: All edges connected to `a`.
     ///
     /// Iterator element type is `EdgeReference<E, Ix>`.
     pub fn edges_connecting(&self, a: NodeIndex<Ix>, b: NodeIndex<Ix>) -> EdgesConnecting<E, Ty, Ix>
diff --git a/tests/graph.rs b/tests/graph.rs
index a3fd109..8bdc077 100644
--- a/tests/graph.rs
+++ b/tests/graph.rs
@@ -298,6 +298,7 @@
     gr.add_edge(a, c, ());
     gr.add_edge(c, b, ());
     connecting_edges.insert(gr.add_edge(a, b, ()));
+    gr.add_edge(b, a, ());
 
     let mut iter = gr.edges_connecting(a, b);
 
@@ -314,6 +315,40 @@
 }
 
 #[test]
+fn iter_multi_undirected_edges() {
+    let mut gr = Graph::new_undirected();
+    let a = gr.add_node("a");
+    let b = gr.add_node("b");
+    let c = gr.add_node("c");
+
+    let mut connecting_edges = HashSet::new();
+
+    gr.add_edge(a, a, ());
+    connecting_edges.insert(gr.add_edge(a, b, ()));
+    gr.add_edge(a, c, ());
+    gr.add_edge(c, b, ());
+    connecting_edges.insert(gr.add_edge(a, b, ()));
+    connecting_edges.insert(gr.add_edge(b, a, ()));
+
+    let mut iter = gr.edges_connecting(a, b);
+
+    let edge_id = iter.next().unwrap().id();
+    assert!(connecting_edges.contains(&edge_id));
+    connecting_edges.remove(&edge_id);
+
+    let edge_id = iter.next().unwrap().id();
+    assert!(connecting_edges.contains(&edge_id));
+    connecting_edges.remove(&edge_id);
+
+    let edge_id = iter.next().unwrap().id();
+    assert!(connecting_edges.contains(&edge_id));
+    connecting_edges.remove(&edge_id);
+
+    assert_eq!(None, iter.next());
+    assert!(connecting_edges.is_empty());
+}
+
+#[test]
 fn update_edge()
 {
     {