The body of Brian Nicol, 32, who was from Glasgow, was found on Sunday morning.
He had managed to get out of the pool but a post-mortem examination showed that he had drowned.
Mr Nicol was at the villa complex at Nueva Andalucia, near the famous millionaires' Puerto Banus yacht harbour, with family.
Police said his death was not being treated as suspicious.
A Scot has died after getting into difficulty in a swimming pool in Marbella on Spain's Costa Del Sol.