Jim Jefferies team will travel to Celtic Park on Saturday August 4 hoping to claim their first win there since the 1955/56 season.
Dundee United are the first visitors to Rugby Park on August 11 while Killie travel to Motherwell on August 18.
The first trip to Ibrox to face Rangers falls on December 1 while Hibernian are the visitors on Boxing Day.
And Jefferies' men conclude their campaign on April 5 with a home clash against Hearts