Thomson, who joined in 2017, and Muldoon, who joined a season later have both been instrumental figures in Town’s journey to the Football League and they will now both help continue the story.
Midfielder Thomson won the 2020/21 Player of the Season award and he 'couldn’t be happier' to sign a new deal that will keep him at Harrogate.
“I’m over the moon”, Thomson said. “I've loved my time here so far and just delighted it can continue.
“The club has come a long, long way and we’ve made some unbelievable memories as a group of lads and as a club, fans, staff, everybody included.
“Our target is to go make some more memories, whether that be getting to Wembley again or achieving another promotion, it doesn’t stop now.”
Meanwhile, Muldoon was top scorer last campaign, making him top the club’s scoring charts for a third consecutive year. The club’s ambition has played a big part in the striker wanting to extend his stay at Town.
“When I first arrived we got into the National League Play-Offs, second season was promotion and then in the third, we stayed in League Two”, Muldoon explained.
“I want to be at a club that wants to be going somewhere, not someone who’s just happy to stay comfy.”