 Born in Sofia, Kitov began his football career from CSKA Sofia, before moving to Ludogorets Razgrad.He was the captain of the U19 team who took a part of 2014–15 season of UEFA Youth League.Kitov become the youngest player to debut for the first team, coming in play at 15 years 11 months 25 days in match against Dunav Ruse in the Bulgarian Cup.