He has also criticised Mr Morrison's bid to portray himself as the "daggy dad" from the suburbs during the election campaign.
Mr Turnbull described Home Affairs Minister Peter Dutton, a coup leader, was a "narcissist" and "self-delusional" for thinking he could be prime minister.
Many ministers, including Mt Dutton, have said that they will give the book a miss and many commentators have rejected the claims put forward by the former PM saying that he is now totally irrelevant.