28-year old Grant who made 91 appearances for the Railwaymen was not offered a new deal at the end of the season which divided supporters.
The last Crewe player to move over the border was Byron Moore and Grant has joined up with more former Crewe players Colin Daniel, Michael O'Connor and Adam Yates.
Grant was the star perfomer when the Vale met Crewe at the Alexandra Stadium in September 2014 and with his style of play put the Vale to the sword.
With Grant's contact being up this summer a few clubs were believed to be watching closely and that included Vale who had been rumoured to interested in the former Chelsea trainee back in January.
With Granty moving on to Port Vale the two sides lock horns in the first game of the new season at the Alexandra Stadium which should prove an interesting and somewhat explosive encounter.