Add GeoJSON layer to OpenLayers 3

FYI... I believe this has changed for OL3 V3.5.0, so gcarrillo's answer would be:

new ol.layer.Vector({
      title: 'added Layer',
      source: new ol.source.Vector({
         url: 'mygeojson.json',
         format: new ol.format.GeoJSON()
      })
  })

You can see the changes here: https://github.com/openlayers/ol3/blob/master/changelog/upgrade-notes.md#v350

When you define your vector source, put the projection setting pointing to the target coordinate reference system (see the docs):

new ol.layer.Vector({
      title: 'added Layer',
      source: new ol.source.GeoJSON({
         projection : 'EPSG:3857',
         url: 'mygeojson.json'
      })
  })

Look at this example (using your sample data): http://jsfiddle.net/zzahmbff/4/

Perhaps this resource can help you to see different ways to load vector data: http://acanimal.github.io/thebookofopenlayers3/chapter03_03_vector_source.html

The OpenLayers Vector API is changing a lot. I have a working sample with OpenLayers 3.16.0.

It's important that you must define featureProjection: 'EPSG:3857' in the options of readFeatures like this:

.readFeatures(_geojson_object, { featureProjection: 'EPSG:3857' })

Reference can be found at https://github.com/openlayers/ol3/blob/master/changelog/upgrade-notes.md#v350

Example:

_geojson_vectorSource = new ol.source.Vector({
  features: (new ol.format.GeoJSON()).readFeatures(_geojson_object, { featureProjection: 'EPSG:3857' })
});

_geojson_vectorLayer = new ol.layer.Vector({
  source: _geojson_vectorSource,
  style: styleFunction
});

map.addLayer(_geojson_vectorLayer);

Note: styleFunction

var image = new ol.style.Circle({
  radius: 5,
  fill: null,
  stroke: new ol.style.Stroke({ color: 'red', width: 1 })
});

var styles = {
  'Point': new ol.style.Style({
    image: image
  }),
  'LineString': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'green',
      width: 1
    })
  }),
  'MultiLineString': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'green',
      width: 1
    })
  }),
  'MultiPoint': new ol.style.Style({
    image: image
  }),
  'MultiPolygon': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'yellow',
      width: 1
    }),
    fill: new ol.style.Fill({
      color: 'rgba(255, 255, 0, 0.1)'
    })
  }),
  'Polygon': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'blue',
      lineDash: [4],
      width: 3
    }),
    fill: new ol.style.Fill({
      color: 'rgba(0, 0, 255, 0.1)'
    })
  }),
  'GeometryCollection': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'magenta',
      width: 2
    }),
    fill: new ol.style.Fill({
      color: 'magenta'
    }),
    image: new ol.style.Circle({
      radius: 10,
      fill: null,
      stroke: new ol.style.Stroke({
        color: 'magenta'
      })
    })
  }),
  'Circle': new ol.style.Style({
    stroke: new ol.style.Stroke({
      color: 'red',
      width: 2
    }),
    fill: new ol.style.Fill({
      color: 'rgba(255,0,0,0.2)'
    })
  })
};

var styleFunction = function (feature) {
  return styles[feature.getGeometry().getType()];
};