JADE North's Incheon United opened their K-League campaign with a 1-0 victory while Sasa Ognenovski's Seongnam Ilhwa Chunma picked up a point on the road.
A first-half goal was enough to give Ilja Petkovic a 1-0 win over Busan I'Park in his first game in charge of Incheon United.
Lee Jun-yong headed a cross back across goal for Yoo Byung-soo to head in from close range.
Yoon Jun-ha squeezed in between two defenders to shoot home the only goal of the game from inside the area in the 28th minute as Gangwon opened with a win.
"It was a really tough match for us but we shouldn't dwell on this win too much," Gangwon coach Choi Soon-ho said.
"The fans gave us great support and because of them we were able to win this game. Now however it is time to focus on our next match in Seoul on Saturday."
Last season's third-place team Seongnam Ilhwa were held to a 1-1 draw at Daegu FC.
Cho Hyung-ik headed Daegu into an early lead only for Han Dong-won to secure a point for the seven-time champions.
Elsewhere, Jeonbuk Hyundai Motors drew 1-1 at Gyeongnam FC while Gwangju Sangmu picked up a comfortable 3-0 win at home to Daejeon Citizen.
FC Seoul are the early leaders after winning 6-1 against Chunnam Dragons yesterday while on the same day Pohang Steelers defeated Suwon Samsung Bluewings 3-2.
Ulsan Hyundai Horang-I were not in action in the opening round.
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