Columbo Yogurt, Taco Bell, Nathan's and Tim Horton had a combined 50 violation points during the November 8th inspection.
By comparison, restaurants with a score between 0 and 13 points earn an A.
The critical violations cited include live roaches, filth and flies in the restaurants, and contaminated food.
A sign on the roll down gate at the restaurants, which share a space at Penn Station, said they were closed for repair.
All the restaurants are managed by the same company.
The city health department says it is up to management to address the problems and provide proof that the violations have been eliminated, for example, receipts from a pest control company.
A department spokesperson said that if the city believes the problems have been addressed, a reopening inspection would be held, and if the restaurant passes that inspection, it would be allowed to reopen.