Park Jong-jin gave Suwon an early lead but they trailed 2-1 by the interval, Lee Han-saem equalising before Lee Seung-gi netted a penalty on the stroke of half-time.
Park Hyun-beom equalised but Suwon could not find a winner and remain fourth in the table. The draw lifts Gwangju to third from bottom, a point ahead of bottom club Daejeon Citizen.
Incheon United are four points ahead of them after moving away from the foot of the table with a 1-0 win over Daegu FC. Ivo scored the only goal in the 61st minute.