diff --git a/pyramid/router.py b/pyramid/router.py
index ba4f85b..a11e556 100644
--- a/pyramid/router.py
+++ b/pyramid/router.py
@@ -1,10 +1,12 @@
 from zope.interface import (
     implementer,
     providedBy,
+    Interface,
     )

 from pyramid.interfaces import (
     IDebugLogger,
+    IMultiView,
     IRequest,
     IRequestExtensions,
     IRootFactory,
@@ -12,6 +14,7 @@ from pyramid.interfaces import (
     IRouter,
     IRequestFactory,
     IRoutesMapper,
+    ISecuredView,
     ITraverser,
     IView,
     IViewClassifier,
@@ -138,9 +141,10 @@ class Router(object):

         # find a view callable
         context_iface = providedBy(context)
-        view_callable = adapters.lookup(
-            (IViewClassifier, request.request_iface, context_iface),
-            IView, name=view_name, default=None)
+        views_iter = get_views(
+            adapters, request.request_iface, context_iface, view_name)
+
+        view_callable = next(views_iter, None)

         # invoke the view callable
         if view_callable is None:
@@ -164,14 +168,7 @@ class Router(object):
             except PredicateMismatch:
                 # look for other views that meet the predicate
                 # criteria
-                for iface in context_iface.__sro__[1:]:
-                    previous_view_callable = view_callable
-                    view_callable = adapters.lookup(
-                        (IViewClassifier, request.request_iface, iface),
-                        IView, name=view_name, default=None)
-                    # intermediate bases may lookup same view_callable
-                    if view_callable is previous_view_callable:
-                        continue
+                for view_callable in views_iter:
                     if view_callable is not None:
                         try:
                             response = view_callable(context, request)
@@ -242,3 +239,12 @@ class Router(object):
         response = self.invoke_subrequest(request, use_tweens=True)
         return response(request.environ, start_response)

+def get_views(adapters, request_iface, context_iface, view_name):
+    for iface in context_iface.__sro__:
+        for view_type in (IView, ISecuredView, IMultiView):
+            for req_type in request_iface.__sro__:
+                view_callable = adapters.registered(
+                    (IViewClassifier, req_type, iface),
+                    view_type, name=view_name)
+                if view_callable is not None:
+                    yield view_callable