The Coast Guard searched for 34 hours and covered approximately 1,000 nautical miles. The search was suspended Monday at 8 p.m.
A statement from the Coast Guard said in part, "Weather and marine conditions were ideal yesterday and today, allowing the search to continue as long as it did."
The family has identified the boater to News 12 as 28-year-old James Jaronczyk, of Massapequa.
Jaronczyk is said to have been alone on a 22-foot Progression speedboat when he fell into the water Sunday a little after 4:30 p.m.
His family told News 12 they are hopeful he will be found alive. Jaronczyk's parents are asking everyone to look on shore, on rocks and in backyards in case he swam there and passed out.