Alexei Melkozyorov was born in Krasnoturyinsk.
In 2024, he graduated from the Ural Choreographic College (class of Nail Magsumovich Gimadeyev).
In 2023, Alexei Melkozyorov participated in the Choreography Programme of the Educational Centre “Sirius”, and also took part in the Festival Maly Nureyevsky.
In 2024–2025, he was a ballet dancer of the Yekaterinburg State Academic Opera and Ballet Theatre.
Since July 2025, Alexei Melkozyorov has been an artist of the Ballet Company of the Primorsky Stage of the Mariinsky Theatre.