John Nutton has been given a two-year term.
He joined the Trust Board in October 2013 in a Designate Non-Executive Director capacity.
He has a strong background in corporate finance and experience in financial management, audit and consultancy.
Non-executive appointments to NHS Trusts are subject to the Code of Practice of the Commissioner for Public Appointments.
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Mr Nutton is entitled to receive £6,157 per annum.
He succeeds Elaine Bond who spent four years in the role.
Mr Nutton said: “It is a challenging time for the whole of the NHS and whilst there are undoubtedly exciting developments to be progressed there will also be some difficult decisions to be made.”