One Cuban immigrant dead and 32 others had to swim to shore after the boat carrying them apparently capsized offshore.
A male migrant was found dead in the surf. The others were being held by federal authorities, police said.
Under the so-called wet-foot-dry-foot policy, Cubans intercepted at sea are generally sent back while those who reach U.S. soil are allowed to stay.
"They made it to shore," Palm Beach Capt. Rick Howe said.
He said the group seemed healthy and claimed to have been on the ocean since Nov. 9.
Photos show many anti-Ukrainian and anti-EU slogans that the farmers use in their demonstration. One of the banners attached to a tractor calls on Russian President Vladimir Putin to bring "Ukraine, Brussels and our rulers” to order