The crew of the 48-foot boat reported completing the roughly 100-mile (160-kilometer) journey to Cuba in 1 hour and 18 minutes.
They say they averaged nearly 80 mph (129 kph) and hit a top speed of 127 mph (204 kph).
The team was led by British-born Nigel Hook, who runs a data analytics and software engineering firm in California.
American Power Boat Association executive director Patrick Mell said there is no modern record for the route so the run would establish a mark once it is certified by them and the International Union of Motor-boating.
The Hook team said another boat made the same trip in 2015 in an "unsanctioned" time of 1 hour and 51 minutes.
The team is seeking recognition from Guinness World Records.
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