The former King's Lynn Town boss was named as Paul Cox's successor on Sunday afternoon.
Culverhouse, who was sacked by the Linnets in November, brings assistant Paul Bastock with him to the National League North side.
The 57-year-old enjoyed a successful spell with King's Lynn - guiding them to back-to-back promotions into the National League.
“I am delighted, it’s a great challenge,” Culverhouse told the Northamptonshire Telegraph.
“It’s a great project as well. I don’t like using that word ‘project’ but it is one of those because they have good ambitions.
"They have a young, vibrant squad that is really doing well at the moment so we have got to keep that momentum going and myself and Baz are looking forward to the challenge.”
“We are really going to give it everything we can to develop them, to push them on and keep the momentum going.
“They have a lot of legs and a lot of ability amongst the group so we are really looking forward to it.
“Hopefully we can bring something to the group and the group can respond and keep pushing forward.”