The talks had been initially scheduled for May 28 but were postponed after the government demanded that Shiite Huthi rebels first withdraw from seized territory.
UN chief Ban Ki-moon "reiterates his urgent call on all Yemeni parties to engage in these consultations in good faith and without pre-conditions in the interest of all Yemeni people," said a statement from his spokesman.
Yemen has been engulfed in turmoil since the Iranian backed Huthis seized the capital Sanaa in September and advanced on the southern city of Aden, forcing President Abedrabbo Mansour Hadi to flee into exile in Saudi Arabia.
In announcing the talks, Ban also repeated his call for a renewed humanitarian pause in fighting following last month's truce.
"Such assistance is of paramount and pressing importance because the suffering of the Yemeni population, as a result of the continued conflict is increasing dramatically," the secretary-general said.
The talks brokered by UN envoy Ismail Ould Cheikh Ahmed would be aimed at securing a ceasefire, agreeing on a withdrawal plan for the Huthis and stepping up deliveries of humanitarian aid.