The actor tweeted: "It gives me no pleasure whatsoever to report that the BBC have decided not to make any more #DirkGently."
A tweet later in the day from the production team said they didn't think another channel would pick up the show, although they offered a glimmer of hope by also saying "but you never know".
A pilot episode that was shown in December 2010 garnered 1.1 million viewers, leading to a three-part series that aired this March - the first drama series to be commissioned for the channel. However, the ratings for it reportedly slipped from 844,000 to under 600,000.
A BBC spokeswoman said: