Last week the Houthis's leader warned that the group would begin attacking ships heading toward the Cape of Good Hope in Africa's southern tip.
Houthi militants have repeatedly launched drones and missiles against international commercial shipping in the Gulf of Aden since mid-November.
Tensions in the Red Sea sparked by the Houthi attacks on transiting vessels bring several economic, environmental, and security ramifications on a global level.
There were no injuries or damage reported, the United States Central Command (CENTCOM) said.
Houthi military spokesman Yahya Sarea said the group will escalate their military operations in the Islamic holy month of Ramadan in solidarity with Palestinians during the war in Gaza.
Early on Saturday, US Navy ships and aircraft shot down 15 uncrewed aerial vehicles (UAVs) by Yemen's Houthis in the Red Sea area, US Central Command (CENTCOM) said.
Significant damage was caused to the targeted vessel and all the crewmembers abandoned ship.
Israel refrains from Ramadan restrictions • Houthis launch missiles across Red Sea
Many Yemenis are tired of the way the Houthis have hijacked the country to turn it into a platform for Iran and Iran’s proxy war against Israel, the US, and the region.
Houthis cause damage to a Liberian-flagged, swiss-owned vessel on the Red Sea. CENTCOM conduct "self-defense" strikes against two anti-ship cruise missiles.