The 18-year-old Scottish schoolboy international penned a three-year deal at The Falkirk Stadium.
Sneddon spent a year at Carmuirs Park after moving from Stirling Albion and revealed he had been a Falkirk player as a youth.
He will join up with the first team squad when pre-season training begins ahead of season 2020-21.
Camelon boss Gordon Herd said: “We’re proud to see Blair secure this full-time contract. He took some early knocks in his career but he came to us, worked hard, and allowed us to help develop him. We are delighted he’s found his form again that was backed up by him securing his place in the Scottish schoolboys squad last season.
"He’s a great example that if you take early knocks, the door is not always shut. This is a key focus of the club to develop young players and enable them to work their way up the leagues.”
The new Bairn was pictured alongside co-managers David McCracken and Lee Miller and in front of another famous face who moved from Camelon to Falkirk – Kevin McAllister.
Camelon secretary Tony Smith added: “We’re really pleased for Blair and his family. I will miss standing with his dad at games. It really does show that you can achieve your goals if you work hard. I’d like to thank Andy Thomson and Gary Deans at Falkirk for their professionalism and the way they conducted the business with us.”