The broadcaster said that it has taken the "difficult decision" not to renew the contract with production company Town House TV after more than four years of production for the channel.
The show aired on ITV in the mornings from 1998-2005 under the name 'Trisha' before moving to Five as 'Trisha Goddard'.
Dawn Airey, Five's chair and CEO, said: "Trisha Goddard has been a tremendous asset to Five's daytime schedule. I want to thank Trisha and the production team for their years of dedication and hard work.
"It is with great sadness and regret that we've come to this conclusion, but in the present economic climate, it feels like the right time to go our separate ways.
"We are currently reviewing all our business practices and contracts and need to focus our resources on the most commercially critical parts of the schedule."
Goddard said: "I have enjoyed my time at Five but I look forward to exciting new challenges ahead."