A Superior Court judge announced the settlement Tuesday.
Woods claimed Kent Hospital was negligent in the death of his 49-year-old brother, who had a heart attack and died in its emergency room after going there with a sore throat and vomiting.
The hospital's chief executive, Sandra Coletta, acknowledged at a news conference with Woods outside the courthouse that mistakes were made.
She said the hospital is creating an institute in Michael Woods' honor and investing $1.25 million over next five years to study redesigning health care and reducing errors.
Further details were not disclosed.