Maksim Chigaev (born 7 November 1996) is a Russian chess player who currently represents Spain.

[6] He played on the Russian team that won the World Youth Under 16 Chess Olympiad in 2012.

[7] In 2015 he won the Vanya Somov Memorial - World's Youth Stars tournament in Kirishi.

[12][13] In January 2019 Chigaev shared second place with Andrey Esipenko and Benjamin Gledura in the Tata Steel Challengers tournament in Wijk aan Zee, the Netherlands scoring 8½ points from 13 games.

Chigaev was paired against Parham Maghsoodloo and lost to him by 2–0 and therefore was eliminated from the tournament in the first round.