Filey Lifeboat's crew were asked to help North Yorkshire Police officers, the Yorkshire Police Support aeroplane and coastguards from Filey and Scarborough in the search at 4pm.
Both Filey's all-weather and inshore lifeboats were tasked with looking from Hunmanby Gap south of Filey to a place known locally as Chimney Hole, north of Filey Brigg.
After more than two hours searching in cold conditions and with no sightings of the missing person, both boats were stood down by the UK Coastguard and returned to Coble Landing in Filey.
John Ward, Filey Lifeboat Press Officer, said: “Both our boats were quickly launched today.
"Nothing was found but our crews covered the area quite extensively.
"At the same time other members of the lifeboat crew continued the training on board the Atlantic 85 inshore lifeboat which will be replacing the all-weather lifeboat this week. Many thanks to all the crew who attended today for their hard work."