The 22-year-old has signed a one-year contract, joining the majority of last season’s squad in renewing their contracts with the club.
Syvertsen joined Clyde in October 2018 following a successful trial period and went on to play a significant role in the club’s promotion to League 1 that season.
In particular he hit some vital goals in the run-in to the end of the campaign, including counters in both play-off semi-final matches against Edinburgh City.
But he missed the majority of last season after injury restricted him to just four Betfred Cup appearances.
However has now completed his recovery following a period in Norway during the football shutdown - and boss Danny Lennon feels he can make an impact again in the coming campaign.
He said: “Kristoffer was looking very good at the start of last season before the injury. He’s positive and unpredictable on the ball; the type of player that gets ‘bums off seats’.
“The lockdown period came at a good time for him - he’s been able to recuperate at home, work hard and get back to full fitness.
“We’ve kept in regular contact with him and we know he’s going to come back strong. He’s held in high regard by the coaching team and we look forward to working with him again to realise his potential.
“As well as his general play, Kristoffer can certainly take the burden away from David (Goodwillie) and others in terms of contributing with goals.
“He loves playing for Clyde and he now wants to repay the fans for the support and patience they’ve shown to him.”