Knowles banged in 20 goals for the Pilgrims as the club won promotion from National League North in May.
He links up with team-mate Kelsey Mooney who has also moved to the League Two side.
Knowles told the Stanley website: “I am buzzing to have finally signed. I can’t wait to get started. Last season was my first full season playing every game at Boston and I really enjoyed it.
“I was a regular player, the manager trusted me to perform, and it was evident when I went out there and enjoyed playing football.”
“Returning to the EFL means a lot. Playing at the highest level is my aim, and this is a great step ahead. It will be beneficial for me to push myself because I haven’t really played League Two on a regular basis, but I know I can do it.
John Doolan, the manager, was eager to compliment Knowles’ versatility.
“We have watched Jimmy in quite a few games and we are really pleased to get it done,” he said. “It’s been a good few months and a lot of work has gone into this signing so myself and Ged (Brannan) are really happy.
“I was impressed with Jimmy’s work-rate, he can run in behind, he can score goals and he helped Boston get promoted. It’s his all-round play, his work-rate off the ball, his running – he is an Accrington Stanley player.
“This is what we want, we want players to give everything in the shirt – his quality, his finishing and his assists. He is the all-round package and hopefully he can step on and take that onto the pitch at Accrington.
“Straight away he said he wanted to get 20 goals this season, which is a big target, but if that’s the standard, that’s brilliant. He is ethusiastic and he can’t.
Knowles, 22, was a scholar at Nottingham Forest Academy before joining Mansfield Town in 2019.
He remained there until 2023, appearing in six games and netting one EFL Trophy goal. Before committing to Boston permanently, he spent stints on loan at Notts County, Greenock Morton, and Kettering Town.
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