The fighting in Yemen's third-largest city left 14 people dead and 27 wounded, with the toll including both fighters and civilians, said the officials, who remain neutral in a conflict that has splintered security forces.
The conflict in Yemen pits the rebels known as Houthis and troops loyal to former President Ali Abdullah Saleh against southern separatists, local and tribal militias, Sunni Islamic militants and loyalists of exiled President Abed Rabbo Mansour Hadi.
The Houthis are aiming to take the Jarrah mountain that overlooks many neighborhoods in Taiz, as well as reclaim Taiz's presidential palace, the nearby former residence of Saleh and a judicial compound, the officials said.
Pro-government forces backed by airstrikes from a Saudi-led coalition have pushed the Houthis out of much of the country's south in recent weeks.
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The ramped-up attacks come as the Houthis, Yemen's government in exile and the country's former ruling party are set to meet for UN-brokered peace talks in the coming days.
Meanwhile, in Taiz's pro-Hadi camp, forces have asked the Saudi-led coalition for reinforcement, citing a shortage of weapons.
Meanwhile, a suspected US drone attack today killed four people believed to be al-Qaida militants who were traveling in a vehicle between the central province of Marib and the desert province of Jawf bordering Saudi Arabia, independent security officials and local tribal leaders said. The bodies of the suspected militants were found charred, the tribal leaders added.