The Spiders were quick to make up for lost time, the league having been paused since early January under new Scottish Government coronavirus restrictions, and raced into a two-goal lead.
Bob McHugh scored a third from the penalty spot in the 65th minute after David Galt had been fouled.
Stranraer midfielder Kieran Millar was sent off late on for a second caution.
Stirling are five points behind in second place after a 1-0 win at bottom club Brechin courtesy of Kieran Moore's goal in the 65th minute.
Edinburgh City closed up on the top four with a 2-1 win at Elgin, who drop to third.
The visitors went ahead inside three minutes through Josh Campbell, with Robbie McIntyre adding a second in the 12th minute following a free-kick.
Although Josh Peters pulled a goal back shortly before half-time, City held out for all three points.