MSD said data searches and staff interviews were conducted as part of its investigation.
Ministerial Services is still looking into the handling of the information by the ministerial offices involved.
Peters has called in the lawyers and pointed his finger at the National Party as the possible "leak" to the media of the news he had to repay overpayments for his superannuation since 2010, saying it was an attempt to destroy NZ First.
That followed revelations that ministers Paula Bennett and Anne Tolley were briefed on the overpayments by government department heads under a "no surprises" policy.
National leader Bill English has said he did not believe the leak came from National and was assured by Bennett and Tolley they had not passed on the information.
State Services Commissioner Peter Hughes has defended the decision to inform the ministers, saying it was carefully considered and the Solicitor General had been consulted.
However, English said the government departments should not have told ministers, given the personal nature of the information. He said the ministers had handled it "with integrity".