The Council confirmed the police ban in a decision published late on Friday, saying it did not constitute an attack on freedom of expression.
Bertrand Delanoe, the Paris mayor, welcomed the decision.
"This decision clearly establishes the discriminatory dimension of such an operation, from which people of Jewish or Muslim faith are de facto excluded," he said in a statement.
The food handouts are organised by a nationalist group called Solidarity of the French (SDF).
It says its "pig soup", which uses pork fat for stock, is country fare much loved by French traditionalists.