Coalition communications spokesman Malcolm Turnbull could get media mogul Rupert Murdoch on the phone, but via Twitter, millions of other people have been able to see their conversation.

A tweet sent from the Coalition frontbencher to the media mogul over the weekend - supporting tighter gun laws in the United States - has been retweeted more than 2400 times, with more than 1000 ‘‘favourites’’, as of Monday morning.

Tweet idea ... Rupert Murdoch called for US politicians to toughen gun laws. Credit:AP

On Monday, Mr Turnbull estimated the tweet would now be on ‘‘several million devices’’.

On Saturday, in the wake of the shooting in Connecticut where 26 people were killed at an elementary school, Mr Turnbull replied to a tweet by Mr Murdoch.