A stand was first constructed for football in 1932. The record attendance of 6,000 was set by a Scottish Cup tie against Rangers in 1948. When Stranraer entered the Scottish Football League in 1955, a terrace cover was erected, called the Shed. There were no significant further changes until 1981, when Stair Park became the last ground in league football in either England or Scotland to install floodlights. Stair Park was significantly improved in the 1990s. 300 seats were installed in the Shed, then a new main stand with 1,524 seats was constructed. This cost £520,000 to build, with the club committee raising £120,000 of the cost and the rest financed by grants from the Football Trust and the district council.
There isn't normally segregation at Stranraer matches, but there are 2,000 places for away fans. When there is no segregation away fans normally settle down in the Coo Shed. Dumfries and Galloway Council restricted the capacity of Stair Park to 6,250 in July 2013, potentially affecting a 2013–14 Scottish League One match against Rangers.