About 200 guests, including Ali's parents, boxing great Muhammad Ali and Veronica Porsche Anderson, attended the Sunday ceremony, People magazine said.
The bride, 29, wore a champagne-colored silk charmeuse strapless mermaid gown designed by Amy Michelson.
"Laila's approach to the wedding was simple but elegant," wedding coordinator Juliet Ryan said.
The two met two years ago when Conway hosted a get-together Ali attended with a friend. Conway, 36, popped the question last Thanksgiving.