Earlier Friday, the American was disqualified in the 500 final, apparently for causing a crash in the final turn.
Ohno claimed his third medal of the Vancouver Games, to go with a silver and another bronze that made him America's most decorated Winter Olympian.
Ohno stuck out his left skate but was edged by South Korea's Kwak Yoon-gy at the finish line of the 45-lap relay. Canada won the gold and South Korea earned the silver.
In the 500-meter final, Ohno crossed the finish line second behind Canada's Charles Hamelin, whose momentum spun him into the middle of the ice as the race ended.
Ohno was in last place when he tried to go inside of Canadian Francois-Louis Tremblay to move up on the final turn. The American's right leg appeared to hit Tremblay and sent him crashing into the padding.
South Korea's Sung Si-bak also went down, although it appeared he lost his balance.
After several minutes of discussion, during which Ohno skated calmly around the ice, the referees DQ'd him. He threw up his arms as if to say, "What can you do?" and smiled before leaving.
Ohno had gotten by crashes in both of his previous heats to advance to the 500 final, which he won four years ago in Turin.
Hamelin won the gold. Sung took silver and Tremblay got bronze.
The 27-year-old skater from Seattle became America's most decorated Winter Olympian at these games, winning a silver in the 1,500 after two South Koreans crashed in the final turn, and a bronze in the 1,000.
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