Using its Sea Viper missile system, HMS Diamond halted the strike on Wednesday.
After being deployed at the beginning of the year and shooting down nine drones, the ship has been on patrol since March.
The Houthis, a Yemeni group with ties to Iran, have attacked ships in the Red Sea region that they allege are supporting Israel’s military endeavors or have a connection to it.
However, there has been a recent decrease in the number of attacks.
It occurs when Israeli aircraft target homes in the Gazan city of Rafah early on Thursday, killing at least five people, Palestinian medical sources said.