"The move came in the wake of an increase in differences between Zardari and Malik," the Daily Express quoted its sources as saying.
The president issued instructions to Malik not to make the report public just hours before the PPP held a rally outside the Bhutto family mausoleum at Garhi Khuda Baksh on Thursday.
Malik had earlier told the media about his intention to make the report public. He had even suggested that PPP chairman Bilawal Bhutto Zardari should launch his political career by revealing the report.
Bhutto was assassinated by a suicide bomber after addressing an election rally in Rawalpindi on December 27, 2007.