Tsonga lost the first set before the match was suspended on Monday, and it was halted twice more because of rain after it was resumed -- the last time with the fifth-seeded Frenchman leading 4-2 in the fourth set.
Tsonga left the court briefly after the second set to get treatment on his back, but returned to break Fish in the next game. He was in firm control after that, and served out the match with an ace.
Fish was playing in his first tournament since having a procedure on his heart in late May and was trying to reach the Wimbledon quarterfinals for the second year in a row.
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