The crash happened shortly before 8 a.m. near 10th Avenue and West 47th Street, according to EMS.
Both women are in serious condition -- one was hurt in the foot and the other on the right leg -- but are expected to survive. One is being treated at Roosevelt Hospital, the other at New York Hospital.
The bus, which originated in Bethlehem, Pa., is owned by Trans-Bridge Lines, a company that makes daily trips within New York City, as well as tours to casinos and other locations. The bus had a green light when it turned, police said.
The bus was empty at the time and the driver was taking it to a parking facility, Trans-Bridge said in a statement.
"Trans-Bridge Lines is fully cooperating with the New York City Police Department and other governmental agencies," the company said.
The AP contributed to this report.