You can assign a context menu to Kanban board cards using contextMenuCards property.
JavaScript
Context menu is available since version 2018.1.3192.
Example:
var dp = new DayPilot.Kanban("dp"); // ... dp.contextMenuCard = new DayPilot.Menu({ items: [ {text: "Edit...", onClick: function(args) { console.log("Editing..." + args.source.id()); } }, {text: "-"}, {text: "Delete", onClick: function(args) { dp.cards.remove(args.source); } } ] }); dp.init();