Mitchell beat a group that included world record-holder Leroy Burrell and Carl Lewis, the two-time Olympic champion and former world record-holder.
Mitchell, wearing a fluorescent green outfit and bright green shoes, held the lead throughout.
Burrell, who set the world record of 9.85 seconds July 6 at Lausanne, Switzerland, came on strong at the end to finish second in 10.11. Jon Drummond was third in 10.12.
Earlier, Gwen Torrence sped to her second Goodwill Games sprint title in two days -- and in record fashion.
Wearing her "Pink Panther" outfit, Torrence, the 1992 Olympic gold medalist, raced to victory in 22.09 seconds, breaking the Goodwill record of 22.12.
Torrence, winner of the 100 on Sunday, again beat her chief rival, Irina Privalova of Russia. Privalova, the runner-up in the 100, again was second in the 200 in 22.33.
In other events Monday, Yekaterina Podkopyeva, 42, outkicked Ireland's Sonia O'Sullivan, 24, and won the women's 1,500 meters in a Games' record 4:04.92; Kenya's Tecla Laroupe also set a Goodwill record, taking the women's 10,000 meters in 31:52.39; and Russia's Marina Pluzhnikova set a world best of 6:11.84 in the women's 2,000-meter steeplechase.
In the 1,500, O'Sullivan, the world record-holder at 2,000 meters, surged into the lead with about 150 meters left. But the dogged Podkopyeva regained it with about 50 meters remaining and held on for a one-meter victory. In Sunday's track and field events, Olympic gold medalists Gwen Torrence and Sally Gunnell both came from behind to win the women's 100 meters and 400 hurdles respectively.
Torrence caught Russia's Irina Privalova near the line to win in 10.95 seconds, while Gunnell overhauled American Kim Batten.
Privalova was still ahead after 90 meters when Torrence, the 1992 Olympic 200 gold medalist, surged past.
Although clearly delighted with her victory, Torrence said she would have to wait until she met world 200 champion Merlene Ottey and Olympic and world 100 gold medalist Gail Devers before she could tell how well she was running.
(AP, Reuters)
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