Undergraduate and postgraduate courses from “across the university portfolio” are affected.
Bosses say the Covid pandemic has significantly increased its costs, while enrolments have been falling.
It is now expected a meeting will be held for students this afternoon in the George Wallis building to discuss the announcement.
One student, who has been affected but wants to remain anonymous, said: "As a graduating student, I found out this week the MA course I have applied for as a continuation of my studies will not be available.
"Along with other students who had planned to return to the university, I am beyond gutted, for myself and the staff.
"It makes a mockery of the constant reports we hear of 'levelling up' and 'investing in Wolverhampton'."
The university says current students on affected courses will be taught as normal.