Evans followed up his win over Andy Murray on Saturday with a 6-3 6-2 victory over Edmund.
The result caps an impressive week for world No 28 Evans, who also made the doubles final where he and partner Lloyd Glasspool lost to Jamie Murray and Neal Skupski 6-0 2-6 6-10.
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"All the players have loved it - that's the truth. Everyone has been raving about the tournament," Evans said after the match.
It was pretty much like a Tour event this week. I didn't think it would be this big but it turned out really well.
Both Edmund and Evans dropped serve to start the match, but the British No 1 took control from 2-2, winning four of the next five games to take the set.
Edmund broke in the first game of the second set, only to immediately hand the advantage back.
Evans then powered clear as he broke twice more to seal victory and win the title. Evans finished the match with only three unforced errors compared to 20 from Edmund.
Cameron Norrie took third place after a 6-3 7-5 win over James Ward, who was called up to replace Andy Murray after he withdrew with injury.
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