Statement comes a day after a wave of drone and missile attacks hit targets across Saudi Arabia.
On Saturday, at least seven people were reported to have been killed in air raids conducted by the Saudi-led coalition on Sanaa and Hodeidah.
The Houthis said the attack by the coalition hit a power plant, a fuel supply station and the state-run social insurance office in the capital.
Later, Houthi political leader Mahdi al-Mashat announced the suspension of missile and drone attacks and all military actions for a period of three days.
“This is a sincere invitation and practical steps to rebuild trust and take all the sides from the arena of talks to the arena of acts,” al-Mashat said.
“And we are ready to turn this declaration into a final and permanent commitment in the event that Saudi Arabia commits to ending the siege and stopping its raids on Yemen once and for all,” he added.
There was no immediate response from Saudi Arabia.