The 21-year-old midfielder scored his third goal of the tournament following his double in Korea's opening 2-1 win over Bahrain, as Ji Dong-won collected a long ball and put the ball into the path of his teammate.
The Koreans led 2-0 inside the first 10 minutes in the sodden conditions at Al-Gharafa Stadium as Ji Dong-won scored the first of his two goals with a header after keeper Paul Subrata failed to deal with Lee Chung-yong's cross.
The Koreans were then frustrated in their bid for more goals as several chances were squandered and efforts by Kwak, Ji and Hwang Jae-won were cleared off the line.