Baverstock will be leaving the role at the end of the year, having joined in October 2010.
It is not known where he is moving on to, although Baverstock has hinted that he will be self-employed.
He said: ‘MHP is a great firm, with great people, with whom I have had a lot of fun and from whom I have learned a great deal. I’m moving on to the next phase of my career and fulfilling a long held ambition to work for myself. I’m leaving on the best of terms from MHP and Engine, and we hope to be able to continue to work together in future.’
Before his time at MHP, which is owned by Engine Group, Baverstock had previously worked as strategy director at Bell Pottinger Sans Frontieres.
His previous roles also include a stint as European director at Ketchum, and strategic director of comms at the Conservative party.
Gavin Devine, CEO of MHP, said day-to-day management of the corporate reputation practice was being overseen by the practice’s senior team, including deputy head Lis Field.
However, he said the role would be filled in due course, adding: ‘Paul and I have been discussing his plans for some time and his desire to do his own thing. We’ve now agreed that the time is right for him to take those plans forward.
'I am grateful to him for his contribution to MHP’s success, and on behalf of the whole company wish him well – our shared objective and plan is to maintain a really positive relationship for the future.’
News of his departure from the Engine Group comes shortly after PRWeek revealed that Slice director Will Mould and creative director Paul Stanway are set to leave.