The Yemeni President Abed Rabbo Mansour Hadi is being held "captive" at his home by Shiite Houthi rebels, according to two Yemeni presidential advisers.

According to the advisers, both speaking on condition of anonymity, Hadi "cannot leave his house" after the rebels removed the presidential guards at his residence in the capital, Sanaa.

One of the advisers told the Associated Press that the crisis in Yemen was at the "point of no return" because the country's security services had been "crippled" by the rebels and the military had been rendered ineffective.

The United Nations security council condemned the Shiite militiamen for their attack and said that Hadi was "the legitimate authority" in Yemen and called on all actors in the conflict "to keep the country on track to stability and security".

Elsewhere, the rebels entered Hadi's presidential palace in a step to ensure that they receive a greater share of power in the country's political make-up.

After the fighters had entered the palace, their leader Abdel-Malek al-Houthi said that Hadi had to follow through on the power-sharing agreement signed in September after the rebels seized the capital, Sanaa.