jQuery animated number counter from zero to value

Your thisdoesn't refer to the element in the step callback, instead you want to keep a reference to it at the beginning of your function (wrapped in $thisin my example):

$('.Count').each(function () {
  var $this = $(this);
  jQuery({ Counter: 0 }).animate({ Counter: $this.text() }, {
    duration: 1000,
    easing: 'swing',
    step: function () {
      $this.text(Math.ceil(this.Counter));
    }
  });
});

Update: If you want to display decimal numbers, then instead of rounding the value with Math.ceil you can round up to 2 decimals for instance with value.toFixed(2):

step: function () {
  $this.text(this.Counter.toFixed(2));
}

this inside the step callback isn't the element but the object passed to animate()

$('.Count').each(function (_, self) {
    jQuery({
        Counter: 0
    }).animate({
        Counter: $(self).text()
    }, {
        duration: 1000,
        easing: 'swing',
        step: function () {
            $(self).text(Math.ceil(this.Counter));
        }
    });
});

Another way to do this and keep the references to this would be

$('.Count').each(function () {
    $(this).prop('Counter',0).animate({
        Counter: $(this).text()
    }, {
        duration: 1000,
        easing: 'swing',
        step: function (now) {
            $(this).text(Math.ceil(now));
        }
    });
});

FIDDLE