An American tourist was brutally stabbed to death at a deserted beach on the Caribbean island of Grenada Saturday, according to police who say the suspect quickly turned himself in.

The 39-year-old woman had been walking in the sand with her husband when the attacker stabbed her with a cutlass, a short sword, The Telegraph reports.

Her husband escaped the attack, police said, and the woman's body turned up near the water. Neither the victim nor her husband was identified.

The couple was staying at La Sagesse, a resort southeast of Grenada's capital, St. George's. They'd apparently come across a beach that other travelers described as "totally deserted."

Journalist and witness Sue Hardy told the Mirror, "No one can see you there - but of course nobody can see if anyone attacks you there."

She added, "I wouldn't venture on to that other, hidden, beach again."

Ex-convict David Martin Benjamin admitted to the crime, according to Yahoo Travel. He recently got out of prison, according to reports, and walked to the police station to turn himself in.

The slaying comes just over a week after American news producer Anne Swaney was strangled while visiting Belize.