Stewart, 23, recently split from long term boyfriend Robert Pattinson after dating him for more than three years, reported Sun online.
"Kristen is not over Rob but she's getting there and Michael is helping her through it. She vowed to throw herself into work and be single this summer. But when she met Michael last week, they hit it off. They both hate the spotlight and are smart bookworm types," a source said.
The actress is also said to have begun practicing Buddhism in an effort to get over her split from Pattinson and concentrate on the new 32-year-old man in her life.