SweetAlert2 - Bind another event to cancel button?

Just add your custom function to catch the rejection, for example:

swal({
   title: 'Some title',
   text: 'some text for the popup',
   type: 'warning',
   showCancelButton: true,
   cancelButtonText: 'Some text for cancel button'
}).then(function(){
   // function when confirm button clicked
}, function(dismiss){
   if(dismiss == 'cancel'){
       // function when cancel button is clicked
   }
});

You can even add more function to catch another dismiss event, just read SweetAlert2 Docs for more info about dismiss event.

with a little customization to @Raditya Adi Baskara answer,

swal({
        title: "$titleWarnignBox",
        type: 'warning',
        showCancelButton: true,
        confirmButtonColor: '#36c6d3',
        cancelButtonColor: '#d33',
        confirmButtonText: '$confrimBtn',
        cancelButtonText: '$cancelBtn'
    }).then(function(result){
        if(result.value){
            console.log('good');
        }else if(result.dismiss == 'cancel'){
           console.log('cancel');
        }

    });