Petrov was born in Pereslavl-Zalessky, Yaroslavl Oblast, Russian SFSR, Soviet Union (now Russia).
He loved football since childhood, and at the age of 9 was admitted into the children's section of the local football club. His sporting successes were significant, and at the age of fifteen he was invited to train in Moscow. He was already preparing to leave when he became seriously injured - a mountain of bricks collapsed on him during school summer practice. He received a severe concussion, after which doctors prohibited him from sports.
After school he entered the economic department of the University of Pereslavl at the Institute of Program Systems of the Russian Academy of Sciences. However, he soon realized that this was not for him - when he began to participate in the student team of the KVN and the performances of the theatre (also student) "Entreprise".
During the theatrical festival, he took part in the master classes of teachers of the Russian Institute of Theatre Arts - GITIS and made his final choice. In 2008 he left the university and went to Moscow. From his first attempt he managed to enter the GITIS for the directing department in the workshop of L. Kheifets.
In 2012-2013, Alexander served in the Moscow Theatre "Et Cetera". Based on the results of diploma theatricals, he received an offer from Aleksandr Kalyagin about enrollment in the troupe of the Moscow theatre "Et Cetera". He played Graziano in "Shylock" based on William Shakespeare's play "The Venetian Merchant", directed by Robert Sturua.
In 2013 he was admitted to the troupe of the Yermolova Theatre, under the leadership of Oleg Menshikov. In the Yermolova Theatre, he played Hamlet in William Shakespeare's tragedy, directed by Valeriy Sarkisov.