Mohammed Ali al-Houthi said the Iran-backed rebels ordered the cessation of rocket and drone attacks on the Saudis and forces loyal to coalition member the United Arab Emirates at the request of U.N. special envoy Martin Griffiths.
The Houthis last July unilaterally halted attacks in the Red Sea to support peace efforts, after Saudi Arabia suspended temporarily oil exports through a strategic Red Sea channel following attacks on crude tankers.
Houthis rule the most populous areas of chronically unstable Yemen, where many parties have been competing for territory and influence, from loyalists of the late President Ali Abdullah Saleh to southern separatists to al-Qaeda.
Ground troops -- which include United Arab Emirates forces, Sudanese and Yemenis drawn from various factions -- have surrounded the main airport compound but have not seized it, a Yemeni military source and residents said.
Arab warplanes and warships continued to pound Houthi positions in Yemen's Hodeida on Friday in operation “Golden Victory” to capture the strategic harbour that is the main entry point for food in Yemen.
Fearing the Houthis are a proxy for their arch-foe Iran, the mostly Gulf Arab alliance seeks to help the internationally recognised government push up from a base in Yemen's south towards Sanaa. Saleh's guile has been key to resisting the push.