Jim Kellermann and Melvin Minter have both joined the Spireites, subject to FA approval, after impressing on trial.
Midfielder Kellermann, who was previously with Aldershot Town, St Mirren and Kidderminster Harriers, has joined Tamworth on loan.
Commenting on his move to the Technique Stadium, the 25-year-old said: “I’m delighted to get it done and I’m grateful for the opportuniity I’ve been given.
“I think once I can get to a level I’m happy with, I can push the boys who are starting every week and get into the team.”
Minter, who is a 26-year-old keeper, was previously at Harrogate Town. While at Harrogate, he had a loan spell at Darlington.
He said: “I’m thankful for the opportunity and looking forward to the next chapter. It’s a massive club and the aim is to try and get the club back to where it belongs.”
Kellermann has been handed the number 16 shirt while Minter will wear 13.