The move came as part of Cambridgeshire's shared services arrangement with Northamptonshire County Council, a programme Moir led for Cambridgeshire for over two and a half years before its implementation.
He spent the past six months leading change and transition management in the council and working as a national adviser for the Local Government Group.
He said: "After nearly six years with Cambridgeshire, the timing was right to move on and I'm now looking for my next opportunity, preferably in the public sector, but ideally with a broader remit than HR alone."
In the meantime, Moir will continue as a non-executive on the CIPD Board, National Policing Improvement Agency Resources Committee, executive committee member for the Involvement and Participation Association and honorary treasurer for the PPMA.