Although fighting has subsided, both sides traded blame for violations that have left at least 24 people dead since the truce came into effect at midday yesterday.
The Saudi-led coalition supporting embattled President Abedrabbo Mansour Hadi accused the Huthi Shiite rebels of flouting the ceasefire from the first hours and acknowledged that it had "responded to these violations".
The rebels meanwhile accused the coalition of breaking the truce immediately after it began by carrying out "a series of raids on various provinces".
Previous ceasefires have collapsed and earlier UN efforts have failed to narrow differences between the warring rivals.
In one positive sign, tribal and military sources said that loyalists and the rebels were expected to exchange hundreds of captured fighters today following weeks of mediation.
Mokhtar al-Rabbash, a member of the prisoners' affairs committee, which is close to the government, said an agreement was in place to swap 375 rebel detainees for 285 pro-Hadi fighters.
There was no immediate confirmation from the rebels. The International Committee of the Red Cross in Sanaa, which was involved in a previous prisoner swap, said the organisation was "not aware of such an exchange".
A spokesman for the Saudi-led coalition, Brigadier General Ahmed al-Assiri, said that the alliance's leadership "realises that this is an important and crucial phase to find a peaceful solution, but has a military commitment to respond to violations."
The coalition launched an air war against the rebels in March after they forced Hadi to flee the country, and has also sent in ground troops.
Today, military sources reported mortar and gunfire by rebels in several parts of the besieged provincial capital of Taez.
Fighting was also reported in Marib province east of the capital.
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