diff --git a/src/ol/source/wmts.js b/src/ol/source/wmts.js
index 2f7b8cc4a2..2b3645b334 100644
--- a/src/ol/source/wmts.js
+++ b/src/ol/source/wmts.js
@@ -327,8 +327,9 @@ ol.source.WMTS.optionsFromCapabilities = function(wmtsCap, config) {
             var tileMatrixSet = ol.array.find(tileMatrixSets, function(el) {
               return el['Identifier'] == elt['TileMatrixSet'];
             });
-            var supportedCRS = tileMatrixSet['SupportedCRS'].replace(/urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3');
-            var proj1 = ol.proj.get(supportedCRS);
+            var supportedCRS = tileMatrixSet['SupportedCRS'];
+            var proj1 = ol.proj.get(supportedCRS.replace(/urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3')) ||
+                ol.proj.get(supportedCRS);
             var proj2 = ol.proj.get(config['projection']);
             if (proj1 && proj2) {
               return ol.proj.equivalent(proj1, proj2);
@@ -387,11 +388,18 @@ ol.source.WMTS.optionsFromCapabilities = function(wmtsCap, config) {
   });
 
   var projection;
+  var code = matrixSetObj['SupportedCRS'];
+  if (code) {
+    projection = ol.proj.get(code.replace(/urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3')) ||
+        ol.proj.get(code);
+  }
   if ('projection' in config) {
-    projection = ol.proj.get(config['projection']);
-  } else {
-    projection = ol.proj.get(matrixSetObj['SupportedCRS'].replace(
-        /urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3'));
+    var projConfig = ol.proj.get(config['projection']);
+    if (projConfig) {
+      if (!projection || ol.proj.equivalent(projConfig, projection)) {
+        projection = projConfig;
+      }
+    }
   }
 
   var wgs84BoundingBox = l['WGS84BoundingBox'];
@@ -424,21 +432,26 @@ ol.source.WMTS.optionsFromCapabilities = function(wmtsCap, config) {
     var gets = wmtsCap['OperationsMetadata']['GetTile']['DCP']['HTTP']['Get'];
 
     for (var i = 0, ii = gets.length; i < ii; ++i) {
-      var constraint = ol.array.find(gets[i]['Constraint'], function(element) {
-        return element['name'] == 'GetEncoding';
-      });
-      var encodings = constraint['AllowedValues']['Value'];
+      if (gets[i]['Constraint']) {
+        var constraint = ol.array.find(gets[i]['Constraint'], function(element) {
+          return element['name'] == 'GetEncoding';
+        });
+        var encodings = constraint['AllowedValues']['Value'];
 
-      if (requestEncoding === '') {
-        // requestEncoding not provided, use the first encoding from the list
-        requestEncoding = encodings[0];
-      }
-      if (requestEncoding === ol.source.WMTSRequestEncoding.KVP) {
-        if (ol.array.includes(encodings, ol.source.WMTSRequestEncoding.KVP)) {
-          urls.push(/** @type {string} */ (gets[i]['href']));
+        if (requestEncoding === '') {
+          // requestEncoding not provided, use the first encoding from the list
+          requestEncoding = encodings[0];
         }
-      } else {
-        break;
+        if (requestEncoding === ol.source.WMTSRequestEncoding.KVP) {
+          if (ol.array.includes(encodings, ol.source.WMTSRequestEncoding.KVP)) {
+            urls.push(/** @type {string} */ (gets[i]['href']));
+          }
+        } else {
+          break;
+        }
+      } else if (gets[i]['href']) {
+        requestEncoding = ol.source.WMTSRequestEncoding.KVP;
+        urls.push(/** @type {string} */ (gets[i]['href']));
       }
     }
   }
diff --git a/src/ol/tilegrid/wmts.js b/src/ol/tilegrid/wmts.js
index 46c0d239e7..c67ff01f18 100644
--- a/src/ol/tilegrid/wmts.js
+++ b/src/ol/tilegrid/wmts.js
@@ -92,9 +92,9 @@ ol.tilegrid.WMTS.createFromCapabilitiesMatrixSet = function(matrixSet, opt_exten
   var tileWidthPropName = 'TileWidth';
   var tileHeightPropName = 'TileHeight';
 
-  var projection;
-  projection = ol.proj.get(matrixSet[supportedCRSPropName].replace(
-      /urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3'));
+  var code = matrixSet[supportedCRSPropName];
+  var projection = ol.proj.get(code.replace(/urn:ogc:def:crs:(\w+):(.*:)?(\w+)$/, '$1:$3')) ||
+      ol.proj.get(code);
   var metersPerUnit = projection.getMetersPerUnit();
   // swap origin x and y coordinates if axis orientation is lat/long
   var switchOriginXY = projection.getAxisOrientation().substr(0, 2) == 'ne';
diff --git a/test/spec/ol/source/wmts.test.js b/test/spec/ol/source/wmts.test.js
index 1778705a20..a6c2d8dbb5 100644
--- a/test/spec/ol/source/wmts.test.js
+++ b/test/spec/ol/source/wmts.test.js
@@ -11,10 +11,11 @@ describe('ol.source.WMTS', function() {
 
   describe('when creating options from capabilities', function() {
     var parser = new ol.format.WMTSCapabilities();
-    var capabilities;
+    var capabilities, content;
     before(function(done) {
       afterLoadText('spec/ol/format/wmts/ogcsample.xml', function(xml) {
         try {
+          content = xml;
           capabilities = parser.read(xml);
         } catch (e) {
           done(e);
@@ -113,6 +114,7 @@ describe('ol.source.WMTS', function() {
       });
 
       expect(options.matrixSet).to.be.eql('google3857');
+      expect(options.projection.getCode()).to.be.eql('EPSG:3857');
     });
 
     it('can find a MatrixSet by equivalent SRS identifier', function() {
@@ -123,8 +125,57 @@ describe('ol.source.WMTS', function() {
       });
 
       expect(options.matrixSet).to.be.eql('google3857');
+      expect(options.projection.getCode()).to.be.eql('EPSG:900913');
     });
 
+    it('can find the default MatrixSet', function() {
+      var options = ol.source.WMTS.optionsFromCapabilities(capabilities, {
+        layer: 'BlueMarbleNextGeneration',
+        requestEncoding: 'REST'
+      });
+
+      expect(options.matrixSet).to.be.eql('BigWorldPixel');
+      expect(options.projection.getCode()).to.be.eql('urn:ogc:def:crs:OGC:1.3:CRS84');
+    });
+
+    it('uses the projection of the default MatrixSet if the config\'s projection is not supported', function() {
+      var options = ol.source.WMTS.optionsFromCapabilities(capabilities, {
+        layer: 'BlueMarbleNextGeneration',
+        projection: new ol.proj.Projection({
+          code: 'EPSG:2056',
+          units: 'm'
+        })
+      });
+
+      expect(options.matrixSet).to.be.eql('BigWorldPixel');
+      expect(options.projection.getCode()).to.be.eql('urn:ogc:def:crs:OGC:1.3:CRS84');
+    });
+
+    it('doesn\'t fail if the GetCap doesn\'t contains Constraint tags', function() {
+      var tmpXml = content.replace(/<ows:Constraint[\s\S]*?<\/ows:Constraint>/g, '');
+      var tmpCapabilities = parser.read(tmpXml);
+      expect(tmpCapabilities['OperationsMetadata']['GetTile']['DCP']['HTTP']['Get'][0]['Constraint']).to.be(undefined);
+      var options = ol.source.WMTS.optionsFromCapabilities(tmpCapabilities,
+          {layer: 'BlueMarbleNextGeneration', matrixSet: 'google3857'});
+      expect(options.layer).to.be.eql('BlueMarbleNextGeneration');
+      expect(options.matrixSet).to.be.eql('google3857');
+    });
+
+    it('set KVP as default request encoding if the GetCap doesn\'t contains Constraint and ResourceUrl tags', function() {
+      var tmpXml = content.replace(/<ows:Constraint[\s\S]*?<\/ows:Constraint>/g, '');
+      tmpXml = tmpXml.replace(/<ResourceURL[\s\S]*?"\/>/g, '');
+
+      var tmpCapabilities = parser.read(tmpXml);
+      expect(tmpCapabilities['OperationsMetadata']['GetTile']['DCP']['HTTP']['Get'][0]['Constraint']).to.be(undefined);
+      expect(tmpCapabilities['Contents']['Layer'][0]['ResourceURL']).to.be(undefined);
+      var options = ol.source.WMTS.optionsFromCapabilities(tmpCapabilities,
+          {layer: 'BlueMarbleNextGeneration', matrixSet: 'google3857'});
+      expect(options.layer).to.be.eql('BlueMarbleNextGeneration');
+      expect(options.matrixSet).to.be.eql('google3857');
+      expect(options.urls).to.be.an('array');
+      expect(options.urls).to.have.length(1);
+      expect(options.urls[0]).to.be.eql('http://www.maps.bob/cgi-bin/MiraMon5_0.cgi?');
+    });
   });
 
   describe('when creating tileUrlFunction', function() {