The new trustees will serve for a four-year term from 1 March, when the terms of five existing OSCR board members come to an end. OSCR was unable to confirm whether any of these trustees will seek reappointment.
The current board of the OSCR, which is a non-ministerial government department, has a chair, deputy chair and six members.
John Naylor, chair of the OSCR, said: "Appointment decisions are matters for ministers but clearly this process is important to OSCR, and represents an exciting opportunity for applicants to play a leading and prominent role in shaping the future of the organisation."
The time commitment is 1.5 days a month and remuneration is £200 a day plus expenses. The closing date for applications is 8 October.