"Aeroflot informs that the airport of Brussels remains closed. Due to this fact Aeroflot announces changes in flight schedule for March 24, 2016," it stated, listing two flights departing from or arriving at Sheremetyevo International Airport.
Tickets would be returned at a place of their purchase without incurring penalties, it added.
The airline recommended passengers to "refrain from their trips" on March 24-25 "due to the uncertainty of the further situation."
On Tuesday, two suicide attacks took place at the Brussels Airport departure hall in the northeastern municipality of Zaventem and another explosion inside a subway carriage at the Maelbeek station near EU institutions.
At least 31 people were killed and 300 were injured in the attacks.
Brothers Khalid and Ibrahim Bakraoui, as well as Najim Laachraoui, were identified by Belgian authorities as three suspected suicide bombers. A fourth purported assailant seen in surveillance images together with Ibrahim and Khalid is believed to be at large.
Belgian Interior Minister Jan Jambon said the man placed a third bomb at the Brussels airport and left. The bomb did not go off in the attacks and was detonated by authorities in a controlled explosion.