diff --git a/src/ol/renderer/dom/domtilelayerrenderer.js b/src/ol/renderer/dom/domtilelayerrenderer.js
index 89b7861f70..4fa5f7c3b9 100644
--- a/src/ol/renderer/dom/domtilelayerrenderer.js
+++ b/src/ol/renderer/dom/domtilelayerrenderer.js
@@ -192,7 +192,7 @@ ol.renderer.dom.TileLayer.prototype.prepareFrame =
       tileLayerZ = this.tileLayerZs_[tileLayerZKey];
     } else {
       tileCoordOrigin =
-          tileGrid.getTileCoordForCoordAndZ(center, tileLayerZKey);
+          tileGrid.getTileCoordForCoordAndZInternal(center, tileLayerZKey);
       tileLayerZ = new ol.renderer.dom.TileLayerZ_(tileGrid, tileCoordOrigin);
       newTileLayerZKeys[tileLayerZKey] = true;
       this.tileLayerZs_[tileLayerZKey] = tileLayerZ;
diff --git a/src/ol/source/tileutfgridsource.js b/src/ol/source/tileutfgridsource.js
index b5a7b7f8bb..b9a2069556 100644
--- a/src/ol/source/tileutfgridsource.js
+++ b/src/ol/source/tileutfgridsource.js
@@ -82,7 +82,7 @@ ol.source.TileUTFGrid.prototype.getTemplate = function() {
 ol.source.TileUTFGrid.prototype.forDataAtCoordinateAndResolution = function(
     coordinate, resolution, callback, opt_this, opt_request) {
   if (!goog.isNull(this.tileGrid)) {
-    var tileCoord = this.tileGrid.getTileCoordForCoordAndResolution(
+    var tileCoord = this.tileGrid.getTileCoordForCoordAndResolutionInternal(
         coordinate, resolution);
     var tile = /** @type {!ol.source.TileUTFGridTile_} */(this.getTile(
         tileCoord[0], tileCoord[1], tileCoord[2], 1, this.getProjection()));
diff --git a/src/ol/source/tilevectorsource.js b/src/ol/source/tilevectorsource.js
index 3db1527301..bfb56a798d 100644
--- a/src/ol/source/tilevectorsource.js
+++ b/src/ol/source/tilevectorsource.js
@@ -114,7 +114,7 @@ ol.source.TileVector.prototype.forEachFeatureAtCoordinateAndResolution =
 
   var tileGrid = this.tileGrid_;
   var tiles = this.tiles_;
-  var tileCoord = tileGrid.getTileCoordForCoordAndResolution(coordinate,
+  var tileCoord = tileGrid.getTileCoordForCoordAndResolutionInternal(coordinate,
       resolution);
 
   var tileKey = this.getTileKeyZXY_(tileCoord[0], tileCoord[1], tileCoord[2]);
diff --git a/src/ol/source/tilewmssource.js b/src/ol/source/tilewmssource.js
index b2fa897e0a..1bddb17a53 100644
--- a/src/ol/source/tilewmssource.js
+++ b/src/ol/source/tilewmssource.js
@@ -140,7 +140,7 @@ ol.source.TileWMS.prototype.getGetFeatureInfoUrl =
     tileGrid = this.getTileGridForProjection(projectionObj);
   }
 
-  var tileCoord = tileGrid.getTileCoordForCoordAndResolution(
+  var tileCoord = tileGrid.getTileCoordForCoordAndResolutionInternal(
       coordinate, resolution);
 
   if (tileGrid.getResolutions().length <= tileCoord[0]) {
diff --git a/src/ol/tilecoord.js b/src/ol/tilecoord.js
index d38bb9a9c7..3855ac1aec 100644
--- a/src/ol/tilecoord.js
+++ b/src/ol/tilecoord.js
@@ -155,7 +155,7 @@ ol.tilecoord.wrapX = function(tileCoord, tileGrid, projection) {
     var worldWidth = ol.extent.getWidth(projectionExtent);
     var worldsAway = Math.ceil((projectionExtent[0] - center[0]) / worldWidth);
     center[0] += worldWidth * worldsAway;
-    return tileGrid.getTileCoordForCoordAndZ(center, z);
+    return tileGrid.getTileCoordForCoordAndZInternal(center, z);
   } else {
     return tileCoord;
   }
diff --git a/src/ol/tilegrid/tilegrid.js b/src/ol/tilegrid/tilegrid.js
index de2def3e3e..af2f483092 100644
--- a/src/ol/tilegrid/tilegrid.js
+++ b/src/ol/tilegrid/tilegrid.js
@@ -382,6 +382,28 @@ ol.tilegrid.TileGrid.prototype.getTileCoordExtent =
  */
 ol.tilegrid.TileGrid.prototype.getTileCoordForCoordAndResolution = function(
     coordinate, resolution, opt_tileCoord) {
+  var tileCoord = this.getTileCoordForCoordAndResolutionInternal(
+      coordinate, resolution, opt_tileCoord);
+  this.transformTileCoord(tileCoord, tileCoord);
+  return tileCoord;
+};
+
+
+/**
+ * Get the tile coordinate for the given map coordinate and resolution.  This
+ * method considers that coordinates that intersect tile boundaries should be
+ * assigned the higher tile coordinate.
+ *
+ * The returned tile coordinate is the internal, untransformed one with
+ * bottom-left origin.
+ *
+ * @param {ol.Coordinate} coordinate Coordinate.
+ * @param {number} resolution Resolution.
+ * @param {ol.TileCoord=} opt_tileCoord Destination ol.TileCoord object.
+ * @return {ol.TileCoord} Internal, untransformed tile coordinate.
+ */
+ol.tilegrid.TileGrid.prototype.getTileCoordForCoordAndResolutionInternal =
+    function(coordinate, resolution, opt_tileCoord) {
   return this.getTileCoordForXYAndResolution_(
       coordinate[0], coordinate[1], resolution, false, opt_tileCoord);
 };
@@ -431,7 +453,24 @@ ol.tilegrid.TileGrid.prototype.getTileCoordForXYAndResolution_ = function(
  * @return {ol.TileCoord} Tile coordinate.
  * @api
  */
-ol.tilegrid.TileGrid.prototype.getTileCoordForCoordAndZ =
+ol.tilegrid.TileGrid.prototype.getTileCoordForCoordAndZ = function(
+    coordinate, z, opt_tileCoord) {
+  var tileCoord = this.getTileCoordForCoordAndZInternal(
+      coordinate, z, opt_tileCoord);
+  this.transformTileCoord(tileCoord, tileCoord);
+  return tileCoord;
+};
+
+
+/**
+ * Get a tile coordinate given a map coordinate and zoom level. The returned
+ * tile coordinate is the internal one, untransformed with bottom-left origin.
+ * @param {ol.Coordinate} coordinate Coordinate.
+ * @param {number} z Zoom level.
+ * @param {ol.TileCoord=} opt_tileCoord Destination ol.TileCoord object.
+ * @return {ol.TileCoord} Internal, untransformed tile coordinate.
+ */
+ol.tilegrid.TileGrid.prototype.getTileCoordForCoordAndZInternal =
     function(coordinate, z, opt_tileCoord) {
   var resolution = this.getResolution(z);
   return this.getTileCoordForXYAndResolution_(