The Swans beat the League Two outfit 5-0 at Wembley on Sunday to win their first major trophy, nearly 10 years after almost being relegated from the football league.
Monk believes that the fans deserve the triumph as a reward for their loyalty.
"The journey we've been through has been tremendous," Monk told talkSPORT.
"For the fans, for the chairman, for the board, for everyone who has been involved in this journey, this is the pinnacle of where we've been."
Monk has played over 200 times since joining the Welsh outfit in 2004.