The second ceasefire, which was signed on Saturday, states as a condition the safe withdrawal of all Houthi fighters from Ibb.
A 24-hour ceasefire agreement between the warring sides was reached on Friday, interrupted by the death of at least 20 people in fighting on Saturday. Violence erupted when tribesmen set up a checkpoint in Yareem town to prevent the Houthis from entering the provincial capital of Ibb.
The city of Ibb, 150km south of Sanaa, borders Bayda province, a stronghold of al-Qaeda in the Arabian Peninsula (AQAP), where Houthis have clashed repeatedly with al-Qaeda linked fighters since Tuesday.
The Houthis, who took over the capital Sanaa on September 21, and who have held the strategic southern port of Hudaydah since Tuesday, did not face any opposition from local authorities as they entered the provinces of Dhamar and Ibb and set up checkpoints, officials said, Al Jazeera reported.