The commission is seeking to appoint six trustees because the Charities Act allows it to increase the number of people on its board from five to nine.
With two trustees - legal experts Lindsay Driscoll and David Unwin - stepping down, six new people are required.
The commission, which has campaigned for charities to recruit more ethnically diverse boards, is advertising in New Nation and Eastern Eye as well as national newspapers that aren't targeted at minority groups. It is also using headhunters to find talent from black and ethnic minority communities.
The commission is also offering guaranteed interviews to disabled candidates.
"We are looking to recruit a more diverse board with a wide range of skills," said a commission spokeswoman.
With the departure of two legal experts, the commission is keen to hear from lawyers. It also wants finance experts and people with knowledge of the Welsh charitable sector.
Rodney Buse, chair of the Charity Trustee Network, said: "All trustee boards should represent the communities they work with."
He welcomed the commission's plans, saying it was good practice to have between eight and 10 trustees.