Glebe Park opened in 1919.[3] The ground had just one portable stand, which had been used at the Perth agricultural show.[3] Brechin City joined the Scottish Football League in 1929, when a pavilion was added and the Cemetery End terrace was covered.[3] The biggest ever attendance was 8,123, against Aberdeen in a Scottish Cup tie played on 3 February 1973.[3] This attendance was greater than the population of Brechin.[3] Floodlights were installed and used for the first time in 1977, in a match against Hibernian.[3]
The old stand was replaced by a new Main Stand, with 290 seats, in 1981.[3] Sponsorship by the Stewart Milne group and a Football Trust grant of £210,000 financed the construction of a 1,228 seat stand at the Trinity Road end of the ground.[3] This stand had double the capacity of Brechin City's average attendance, which attracted criticism from non-league clubs in England, who believed that the Football Trust should fund their developments instead.[3] Unusually, the largest stand in the ground was built behind the goal, rather than the side opposite the Main Stand.[3] This was because that side is constrained by a terrace and the Glebe Park hedge, which runs past more than half of the pitch.[3][4][5] The hedge was threatened in 2009 because Glebe Park's pitch dimensions were too small for it to meet UEFA requirements, at just 67 yards wide.[3][4][5] A fine was suspended by the SFA because Brechin City carried out some work to resolve the problem.[6] There is a small training pitch behind the hedge.