diff --git a/moto/route53/responses.py b/moto/route53/responses.py
index e831820e..f804fa30 100644
--- a/moto/route53/responses.py
+++ b/moto/route53/responses.py
@@ -53,10 +53,9 @@ class Route53(BaseResponse):
         dnsname = query_params.get("dnsname")
 
         if dnsname:
-            dnsname = dnsname[
-                0
-            ]  # parse_qs gives us a list, but this parameter doesn't repeat
-            # return all zones with that name (there can be more than one)
+            dnsname = dnsname[0]
+            if dnsname[-1] != ".":
+                dnsname += "."
             zones = [
                 zone
                 for zone in route53_backend.get_all_hosted_zones()
@@ -76,7 +75,7 @@ class Route53(BaseResponse):
             zones = sorted(zones, key=sort_key)
 
         template = Template(LIST_HOSTED_ZONES_BY_NAME_RESPONSE)
-        return 200, headers, template.render(zones=zones)
+        return 200, headers, template.render(zones=zones, dnsname=dnsname)
 
     def get_or_delete_hostzone_response(self, request, full_url, headers):
         self.setup_class(request, full_url, headers)
@@ -354,6 +353,9 @@ LIST_HOSTED_ZONES_RESPONSE = """<ListHostedZonesResponse xmlns="https://route53.
 </ListHostedZonesResponse>"""
 
 LIST_HOSTED_ZONES_BY_NAME_RESPONSE = """<ListHostedZonesByNameResponse xmlns="https://route53.amazonaws.com/doc/2013-04-01/">
+  {% if dnsname %}
+  <DNSName>{{ dnsname }}</DNSName>
+  {% endif %}
   <HostedZones>
       {% for zone in zones %}
       <HostedZone>
diff --git a/tests/test_route53/test_route53.py b/tests/test_route53/test_route53.py
index 8ce5272e..135f411e 100644
--- a/tests/test_route53/test_route53.py
+++ b/tests/test_route53/test_route53.py
@@ -506,6 +506,54 @@ def test_list_hosted_zones_by_name():
     zones["HostedZones"][2]["Name"].should.equal("test.a.org.")
 
 
+@mock_route53
+def test_list_hosted_zones_by_dns_name():
+    conn = boto3.client("route53", region_name="us-east-1")
+    conn.create_hosted_zone(
+        Name="test.b.com.",
+        CallerReference=str(hash("foo")),
+        HostedZoneConfig=dict(PrivateZone=True, Comment="test com"),
+    )
+    conn.create_hosted_zone(
+        Name="test.a.org.",
+        CallerReference=str(hash("bar")),
+        HostedZoneConfig=dict(PrivateZone=True, Comment="test org"),
+    )
+    conn.create_hosted_zone(
+        Name="test.a.org.",
+        CallerReference=str(hash("bar")),
+        HostedZoneConfig=dict(PrivateZone=True, Comment="test org 2"),
+    )
+    conn.create_hosted_zone(
+        Name="my.test.net.",
+        CallerReference=str(hash("baz")),
+        HostedZoneConfig=dict(PrivateZone=False, Comment="test net"),
+    )
+
+    # test lookup
+    zones = conn.list_hosted_zones_by_name(DNSName="test.b.com.")
+    len(zones["HostedZones"]).should.equal(1)
+    zones["DNSName"].should.equal("test.b.com.")
+    zones = conn.list_hosted_zones_by_name(DNSName="test.a.org.")
+    len(zones["HostedZones"]).should.equal(2)
+    zones["DNSName"].should.equal("test.a.org.")
+    zones["DNSName"].should.equal("test.a.org.")
+    zones = conn.list_hosted_zones_by_name(DNSName="my.test.net.")
+    len(zones["HostedZones"]).should.equal(1)
+    zones["DNSName"].should.equal("my.test.net.")
+    zones = conn.list_hosted_zones_by_name(DNSName="my.test.net")
+    len(zones["HostedZones"]).should.equal(1)
+    zones["DNSName"].should.equal("my.test.net.")
+
+    # test sort order
+    zones = conn.list_hosted_zones_by_name()
+    len(zones["HostedZones"]).should.equal(4)
+    zones["HostedZones"][0]["Name"].should.equal("test.b.com.")
+    zones["HostedZones"][1]["Name"].should.equal("my.test.net.")
+    zones["HostedZones"][2]["Name"].should.equal("test.a.org.")
+    zones["HostedZones"][3]["Name"].should.equal("test.a.org.")
+
+
 @mock_route53
 def test_change_resource_record_sets_crud_valid():
     conn = boto3.client("route53", region_name="us-east-1")