The BBC has been looking at developing a suitable replacement for the weekday 6pm-7pm slot after losing 'The Simpsons' to Channel 4.
Critics panned the show when it began on BBC Two in April with ratings slipping from 1m for the launch programme to just 700,000, only one in 25 of the available audience.
In the show, four members of one family -- two adults and two children -- were challenged to pit their wits against each other.
In a Radio Times interview, BBC Two controller Roly Keating said that although Dick and Dom are a brilliant talent, the show just did not work.
The show, presented by Richard McCourt and Dominic Wood, attracted a younger audience than was usual for the slot and the channel. However the BBC says it has no plans to revive it.
A spokesperson said that Dick and Dom would continue to work with the BBC on other projects. The pair currently present the Saturday morning TV show 'Dick and Dom in Da Bungalow'.
'Ask the Family' was brought back from the TV graveyard -- it had run from 1967 to 1982.
Dick and Dom were in trouble with MPs last month after 'Dick and Dom in Da Bungalow' was criticised for being crude. Tory MP Peter Luff invited media secretary Tessa Jowell to view the website for the popular kids TV show.
"You can join me in playing 'How Low Can You Bungalow', a test to see your response to grossly embarrasing situations, largely of a lavatorial nature; 'Pants Dancers in the Hall of Fame', photos of children with underwear on their head; 'Make Dick Sick', a game which I think largely speaks for itself; and 'Bunged Up', in which you play a character in a sewerage system avoiding turtle poos coming from various lavatories," Luff said.
If you have an opinion on this or any other issue raised on Brand Republic, join the debate in the