Publicist Joseph Carozza said there were no updates Tuesday morning on his condition. He added that Kingston's family is grateful for everyone's prayers and support.
Kingston, 21, and a female passenger were injured when the watercraft hit the Palm Island Bridge around 6 p.m. Sunday, Florida Fish and Wildlife Conservation Commission spokesman Jorge Pino said.
Both were hospitalized at Ryder Trauma Center.
A number of hip-hop musicians were in Miami Beach over the weekend for Urban Beach Week.
Kingston rose to fame with his 2007 hit "Beautiful Girls" and was also featured on songs by artists including Justin Bieber. His self-titled debut album sold over 1 million copies worldwide.
In a 2007 interview with The Associated Press, Kingston described his music as a fusion of reggae, pop, rap and R&B.
"It's /*Sean Kingston*/ genre. I have my own genre," Kingston told the AP at the time. "No disrespect to no artist or dudes out there. I feel like I am my own person. I am doing my own thing."
Since the crash, musicians including Bieber, Rihanna and Nicki Minaj have posted messages of support for Kingston on Twitter.
