The centre helps people access health services and adequate financial assistance as well as providing drug and alcohol treatment, anger/violence change, parenting and healing of childhood issues. Almost 89 per cent of the centre's clients have serious issues relating to violence or trauma, with up to 170 new clients every month.
Mr Brown said the company's staff saw the Miriam Centre was struggling to get funding and knew how vital its work was.
Miriam Centre director Patsy Henderson Watt, whose husband Stuart Henderson is a partner in Henderson Reeves Connell Rishworth, said the area the centre works in is often a difficult one for people to ask for help about and the initiative would provide a huge boost to the 25-year-old centre.
"It's been incredibly difficult this year. This is brilliant, absolutely lifesaving."
She was pleased the idea came from staff members who then suggested it to the firm's directors.
The law firm participates in a willis month every year to raise money for Hospice, but thought this year it would do two.
The Miriam Centre's costs, largely salaries for therapists, counsellors and social workers, are mostly covered by donations and grants.