On May 21, 1995, Omura debuted for the Japan national team against Scotland. In 1996, he became a regular player and played center-back with club teammate Masami Ihara. He also played each of Japan's matches at the 1996 Asian Cup. In 1997, although he played at 1998 World Cup qualification, his opportunity to play decreased. In 1998, he played for Japan at the 1998 World Cup. He played in one game against Jamaica instead of Eisuke Nakanishi for suspension. This match was his last game for Japan. He played 30 games and scored four goals for Japan until 1998.
In 2013, Omura became a manager for Gainare Tottori. However the club performed poorly that year. He was sacked in August 2013, when Gainare was in 20th place of 22 clubs.