The South Tees NHS Foundation Trust has agreed to address failings in infection control, finances and leadership.
They came to light after an investigation by Monitor, the NHS health regulator.
In a statement, the Trust said it was already working hard to address concerns.
“We welcome external scrutiny of our activities and so are happy to accept any extra support that Monitor can offer.
"The trust has always had a strong focus on providing high quality, safe services – something that has been recognised locally, regionally and nationally – and while we are facing some tough challenges, not least our financial position, our commitment to providing excellent services and care for our patients will not change."