New York is set to begin a $30 million program aimed at providing mental health services to low-income residents with little or no access to care.

The program, Connections to Care, will tap existing community organizations that reach low-income residents but are not providing mental health services. Chirlane McCray, chairwoman of the Mayor’s Fund to Advance New York, will announce on Thursday that the fund, along with two city agencies, has secured financing for the program: a five-year, $10 million federal grant that the fund will match with $20 million.

The program, which will also double as a study, will train workers, like preschool teachers and job placement specialists, to identify and to help heal depression, anxiety, substance abuse and other mental health problems. “Peer counseling is powerful,” Ms. McCray said in an interview on Wednesday. “We all have the potential to be healers.”

For Ms. McCray, the wife of Mayor Bill de Blasio, the issue is personal.

Her daughter, Chiara de Blasio, has publicly addressed her battle with substance abuse and mental health issues, embracing a role as an ambassador for young people grappling with similar problems. When Ms. McCray announced in January that mental health would be a priority of the administration, she revealed for the first time that she had grown up with parents who had suffered from untreated depression.