Syrian state media said the army would abide by a "regime of calm" in the city that came into effect at 1 a.m. (2200 GMT Wednesday) for 48 hours, Reuters reported.
But the terrorist groups have repeatedly violated the deal overnight by indiscriminate shelling of some government-held residential areas of the city.
A resident contacted in the terrorist-held eastern part of the city said although jets were flying overnight, there were none of the intense raids seen during more than 10 days of intense aerial bombing.
People in several districts ventured out onto the streets where more shops than normal had opened, the resident of al Shaar neighborhood said.
Aleppo has been divided between government forces in the west and foreign-backed militants in the east since 2012, a year after the conflict broke out in Syria.
Diplomatic efforts are underway to halt the rising violence in the city, which has killed some 300 people since April 22.
The US and Russia are working together to include Aleppo in a so-called “regime of silence” — a freeze in fighting — aimed at reinforcing a broader ceasefire in place since February 27.
The Takfiri Daesh terrorists and the al-Qaeda-linked al-Nusra Front are excluded from any ceasefire agreement.
An escalation in rocket attacks by militants in recent weeks has left the ceasefire in tatters.
Syria has been gripped by foreign-backed militancy since March 2011. UN Special Envoy for Syria Staffan de Mistura estimates that over 400,000 people have been killed in the conflict, which has furthermore displaced over half of Syria’s pre-war population of about 23 million.