The Prime Minister, David Cameron, will hold a meeting with the Culture Secretary to discuss TV drama The Secret.
The ITV drama, which tells the story of convicted killer Colin Howell and Hazel Buchanan who killed their spouses and kept the deaths secret for 18 years, has divided opinion.
The programme has been criticised by the daughter of one of the victims, saying it had left her traumatised.
A Labour Party MP raised the matter in the House of Commons on Wednesday.
Louise Haigh said the victims’ families were reliving the pain of their loved ones’ killings as a result of the drama.
She added that “victims’ voices should have a far greater role” in determining whether or not programmes based on real-life events should be made.
David Cameron said he would discuss the programme with the Culture Secretary John Whittingdale to see if there is anything “more that can be done” in similar cases.