Defence Minister Sergei Shoigu said the bombing had been halted early on Tuesday.
Russia had already announced an eight-hour pause between 08:00 (05:00 GMT) and 16:00 on Thursday.
Mr Shoigu urged rebels and civilians in the besieged eastern area of the city to use humanitarian corridors to leave.
Russian warplanes pounded the rebel-held areas of Aleppo shortly before announcing Tuesday's suspension, activists say.