Народный художник Российской Федерации
In 1943, Avilov was awarded the Stalin Prize in the first degree for his battle painting «Duel Peresvet with Chelubey at the Kulikovo Field». He was also awarded the Order of the Red Banner of Labour. In 1953, Avilov was awarded the honorary title of a People's Artist of the Russian Federation. He was a Member of the Academy of Arts of the USSR.