http://angular-ui.github.io/bootstrap/

<!doctype html>
<html ng-app="ui.bootstrap.demo">
  <head>
    <script src="//ajax.googleapis.com/ajax/libs/angularjs/1.4.7/angular.js"></script>
    <script src="//ajax.googleapis.com/ajax/libs/angularjs/1.4.7/angular-animate.js"></script>
    <script src="//angular-ui.github.io/bootstrap/ui-bootstrap-tpls-0.14.3.js"></script>
    <script src="example.js"></script>
    <link href="//netdna.bootstrapcdn.com/bootstrap/3.1.1/css/bootstrap.min.css" rel="stylesheet">
  </head>
  <body>

<div ng-controller="ModalDemoCtrl">
    <script type="text/ng-template" id="myModalContent.html">
        <div class="modal-header">
            <h3 class="modal-title">Datepicker in modal</h3>
        </div>
        <div class="modal-body">
            <p class="input-group">
              <input type="date" class="form-control" uib-datepicker-popup ng-model="dt" is-open="status.opened" datepicker-append-to-body="true" close-text="Close" />
              <span class="input-group-btn">
                <button type="button" class="btn btn-default" ng-click="status.opened = true"><i class="glyphicon glyphicon-calendar"></i></button>
              </span>
            </p>
        </div>
        <div class="modal-footer">
            <button class="btn btn-primary" type="button" ng-click="ok()">OK</button>
            <button class="btn btn-warning" type="button" ng-click="cancel()">Cancel</button>
        </div>
    </script>

    <button type="button" class="btn btn-default" ng-click="open()">Open me!</button>
</div>
  </body>
</html>

angular.module('ui.bootstrap.demo', ['ngAnimate', 'ui.bootstrap']);
angular.module('ui.bootstrap.demo').controller('ModalDemoCtrl', function ($scope, $uibModal, $log) {

  $scope.items = ['item1', 'item2', 'item3'];

  $scope.animationsEnabled = true;

  $scope.open = function (size) {

    var modalInstance = $uibModal.open({
      animation: $scope.animationsEnabled,
      templateUrl: 'myModalContent.html',
      controller: 'ModalInstanceCtrl',
      size: size,
      resolve: {
        items: function () {
          return $scope.items;
        }
      }
    });

    modalInstance.result.then(function (selectedItem) {
      $scope.selected = selectedItem;
    }, function () {
      $log.info('Modal dismissed at: ' + new Date());
    });
  };

  $scope.toggleAnimation = function () {
    $scope.animationsEnabled = !$scope.animationsEnabled;
  };

});

// Please note that $modalInstance represents a modal window (instance) dependency.
// It is not the same as the $uibModal service used above.

angular.module('ui.bootstrap.demo').controller('ModalInstanceCtrl', function ($scope, $uibModalInstance, items) {

  $scope.items = items;
  $scope.selected = {
    item: $scope.items[0]
  };

  $scope.ok = function () {
    $uibModalInstance.close($scope.selected.item);
  };

  $scope.cancel = function () {
    $uibModalInstance.dismiss('cancel');
  };
});