Seven Massachusetts hospitals that care for a large number of poor patients will receive $628 million over three years to invest in electronic health records, to move toward new ways of paying for care, and to track patient health over time, state officials announced Tuesday.

The money was preliminarily approved in December, as part of the agreement between the state and the Centers for Medicare & Medicaid Services about how to implement the state’s Medicaid program.

The “safety net” hospitals that will receive the money are Boston Medical Center, Cambridge Health Alliance, Holyoke Medical Center, Lawrence General Hospital, Mercy Medical Center, Signature Healthcare’s Brockton Hospital, and Steward’s Carney Hospital.

“This is an amazing opportunity for safety net hospitals, which serve many of the state’s most vulnerable communities,” said Secretary of Health and Human Services Dr. JudyAnn Bigby. “The plans are transformational and I look forward to working with our hospital partners to advance these innovative projects that further support our reform efforts.”

Here’s how the money will be distributed:

Boston Medical Center: $310.7 million

Cambridge Health Alliance: $134.6 million

Holyoke Medical Center Inc.: $24.5 million

Lawrence General Hospital: $43.3 million

Mercy Medical Center: $45.6 million

Signature Healthcare’s Brockton Hospital: $50.1 million

Steward’s Carney Hospital: $19.2 million

A press release from the governor’s office explained how the money is expected to be used: