Referee Bobby Madden took the players off after 25 goalless minutes at Ibrox after consulting with both managers and deeming the conditions unplayable.
Rangers were looking to cut the 13-point gap to the Edinburgh club at the top of the table in a showdown between the division's two main title contenders.
Madden told BBC Sport: "It was the right decision [to start]. The fans were inside the ground. I made the final decision based on player safety. The information is forecast to come back on.
"There was a potential risk of injury. When you see the players running at 100%, you see they are struggling. It was the best decision to start the game and see what happened."
Protests against the ownership of Rangers were held outside Ibrox prior to kickoff and continued throughout the brief action.