The men were working in the lift shaft of the building in the eastern 11th arrondissement when the elevator on the third floor suddenly fell towards them, reported daily newspaper Libération.
The circumstances of the accident were "still undetermined," according to a local official quoted by the newspaper.
News channel BFM TV reported on Friday that it took two hours to rescue the men, who were trapped in a space just 80 centimetres high beneath the elevator.
Two of the injured men were reported to have suffered serious though not life-threatening injuries while the fourth had cuts and bruises.
It is the second serious incident involving an elevator in the same district of Paris in less than a month.
In the first case a woman and her two children were seriously injured when the elevator they were in fell four floors.
Ian Brossat, a local official in the area, called for greater security. He told BFM TV that the number of inspectors had fallen over recent years.
"This succession of tragic events forces us, yet again, to exercise vigilance so that users and lift engineers are safe," he said.