The trip should last not longer than 45 minutes and will be provided only for passengers, according to Transport Malta regulations.
The company had said in March that it would initially be operating the service with a ferry from its existing fleet, and will later have a boat specifically built for the Mġarr-Valletta service.
The shipping market on this route is open to multiple operators followed three failed attempts.
The first two calls had been cancelled by the Transport Ministry following lengthy legal proceedings, while the third one was cancelled by the the Public Contracts Review Board.