diff --git a/src/ol/source/WMTS.js b/src/ol/source/WMTS.js
index b61af5eee2..b56288bca8 100644
--- a/src/ol/source/WMTS.js
+++ b/src/ol/source/WMTS.js
@@ -6,9 +6,10 @@ import TileImage from './TileImage.js';
 import WMTSRequestEncoding from './WMTSRequestEncoding.js';
 import {appendParams} from '../uri.js';
 import {assign} from '../obj.js';
+import {containsExtent} from '../extent.js';
 import {createFromCapabilitiesMatrixSet} from '../tilegrid/WMTS.js';
 import {createFromTileUrlFunctions, expandUrl} from '../tileurlfunction.js';
-import {equivalent, get as getProjection} from '../proj.js';
+import {equivalent, get as getProjection, transformExtent} from '../proj.js';
 import {find, findIndex, includes} from '../array.js';
 
 /**
@@ -448,7 +449,7 @@ export function optionsFromCapabilities(wmtsCap, config) {
     }
   }
 
-  const wrapX = false;
+  let wrapX = false;
   const switchOriginXY = projection.getAxisOrientation().substr(0, 2) == 'ne';
 
   let matrix = matrixSetObj.TileMatrix[0];
@@ -478,14 +479,28 @@ export function optionsFromCapabilities(wmtsCap, config) {
     : matrix.TopLeftCorner;
   const tileSpanX = matrix.TileWidth * resolution;
   const tileSpanY = matrix.TileHeight * resolution;
-
-  const extent = [
+  let extent;
+  const wgs84BoundingBox = l['WGS84BoundingBox'];
+  const tileMatrixExtend = [
     origin[0] + tileSpanX * selectedMatrixLimit.MinTileCol,
     // add one to get proper bottom/right coordinate
     origin[1] - tileSpanY * (1 + selectedMatrixLimit.MaxTileRow),
     origin[0] + tileSpanX * (1 + selectedMatrixLimit.MaxTileCol),
     origin[1] - tileSpanY * selectedMatrixLimit.MinTileRow,
   ];
+  if (wgs84BoundingBox !== undefined) {
+    const wgs84ProjectionExtent = getProjection('EPSG:4326').getExtent();
+    wrapX =
+      wgs84BoundingBox[0] === wgs84ProjectionExtent[0] &&
+      wgs84BoundingBox[2] === wgs84ProjectionExtent[2];
+    extent = transformExtent(wgs84BoundingBox, 'EPSG:4326', projection);
+
+    if (!containsExtent(tileMatrixExtend, extent)) {
+      extent = tileMatrixExtend;
+    }
+  } else {
+    extent = tileMatrixExtend;
+  }
 
   if (projection.getExtent() === null) {
     projection.setExtent(extent);