Mr Brandweiner left the super fund in August 2016 to join global impact investment firm LeapFrog Investments.
Mr Graham was appointed the fund’s acting chief investment officer in the same month, following the announcement of Mr Brandweiner's departure.
Mr Graham previously led investments at the financial planning company StatePlus.
“Damian brings a wealth of investment leadership expertise and he has a deep appreciation of the members first philosophy that underpins First State Super’s approach to investing,” First State Super chief executive Michael Dwyer said.
Meanwhile, Mr Graham said it was a privilege for him to join the “outstanding team of investment professionals at First State Super and to guide the fund’s investment strategy and approach to universal ownership”.
“In recent years, First State Super has contributed to the development of several major infrastructure projects including Sydney’s new International Convention Centre, the Barangaroo business precinct, and has helped to establish new hospitals in Bendigo and on the Sunshine Coast,” he said.
“Whether in partnership with investment managers or as a direct investor, First State Super will continue to be an active owner.”
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