Non-executive directors Simon Lough, Helen Sinclair and Tom Wood will also step down from the board with immediate effect, the wealth manager said in a stock exchange notice today (16 November).
Moore currently sits on the boards of Liverpool Victoria Financial Services, PCF Group, PCF Bank, RCI Bank UK and the Wallscourt Foundation of the University of West of England.
Stran is also non-executive director at PCF Group and PCF Bank, as well as Catalyst Asset Finance, Azule, PCF Credit and Collingtree Enterprises.
Investment veteran Kevin Smith joins WH Ireland
CEO Phillip Wale said he was looking forward to working with Moore and Stran as the firm focused on the next stage of its development.
"Their experience will strengthen the board's skillset and ensure we have stable governance as we navigate challenging markets," he said.
"I would also like to thank Simon Lough, Helen Sinclair and Tom Wood for their significant effort and support over the last few years culminating in the company's recapitalisation."