diff --git a/swh/web/browse/snapshot_context.py b/swh/web/browse/snapshot_context.py
--- a/swh/web/browse/snapshot_context.py
+++ b/swh/web/browse/snapshot_context.py
@@ -302,7 +302,7 @@
             branches[branch_alias]["name"] = branch_alias
 
     ret_branches = list(sorted(branches.values(), key=lambda b: b["name"]))
-    ret_releases = list(sorted(releases.values(), key=lambda b: b["name"]))
+    ret_releases = list(sorted(releases.values(), key=lambda b: b["branch_name"]))
 
     return ret_branches, ret_releases, resolved_aliases
 
diff --git a/swh/web/browse/templates/browse-releases.html b/swh/web/browse/templates/browse-releases.html
--- a/swh/web/browse/templates/browse-releases.html
+++ b/swh/web/browse/templates/browse-releases.html
@@ -17,7 +17,8 @@
     <table class="table swh-table swh-table-striped">
       <thead>
         <tr>
-          <th><i class="{{ swh_object_icons.release }} mdi-fw" aria-hidden="true"></i>Name</th>
+          <th><i class="{{ swh_object_icons.branch }} mdi-fw" aria-hidden="true"></i>Branch name</th>
+          <th><i class="{{ swh_object_icons.release }} mdi-fw" aria-hidden="true"></i>Release name</th>
           <th>Target</th>
           <th>Message</th>
           <th>Date</th>
@@ -27,13 +28,19 @@
         {% if displayed_releases|length > 0 %}
           {% for release in displayed_releases %}
             <tr class="swh-release-entry swh-tr-hover-highlight">
-              <td class="swh-release-name">
+              <td class="swh-branch-name">
                 <a href="{{ release.release_url }}">
                   {% if release.alias %}
                     <i class="{{ swh_object_icons.alias }} mdi-fw" aria-hidden="true"></i>
                   {% else %}
-                    <i class="{{ swh_object_icons.release }} mdi-fw" aria-hidden="true"></i>
+                    <i class="{{ swh_object_icons.branch }} mdi-fw" aria-hidden="true"></i>
                   {% endif %}
+                  {{ release.branch_name }}
+                </a>
+              </td>
+              <td class="swh-release-name">
+                <a href="{{ release.release_url }}">
+                  <i class="{{ swh_object_icons.release }} mdi-fw" aria-hidden="true"></i>
                   {{ release.name }}
                 </a>
               </td>
diff --git a/swh/web/browse/tests/views/test_snapshot.py b/swh/web/browse/tests/views/test_snapshot.py
--- a/swh/web/browse/tests/views/test_snapshot.py
+++ b/swh/web/browse/tests/views/test_snapshot.py
@@ -390,8 +390,10 @@
             query_params=query_params,
         )
 
-        assert_contains(resp, '<a href="%s">' % escape(browse_release_url))
-        assert_contains(resp, '<a href="%s">' % escape(browse_revision_url))
+        assert_contains(resp, release["branch_name"])
+        assert_contains(resp, release["name"])
+        assert_contains(resp, f'<a href="{escape(browse_release_url)}">')
+        assert_contains(resp, f'<a href="{escape(browse_revision_url)}">')
 
     _check_origin_link(resp, origin_info["url"])