The Metropolitan Police have decided to take no further action over Jo Brand's "battery acid" joke told on Radio 4 show Heresy on Tuesday.
It had been reported yesterday that the Metropolitan Police Force was assessing the joke following an allegation of incitement to violence.
A spokesperson for the Met said at the time: "Police have received an allegation of incitement to violence that was reported to the MPS on 13 June. The allegation relates to comments made on a radio programme. The allegation is currently being assessed. There have been no arrests and inquiries are ongoing."
Scotland Yard has now said: "Police received an allegation of incitement to violence on 13 June, relating to comments made on a radio programme. The referral has been considered by the MPS and no further police action will be taken in relation to this allegation."