The alleged incidents occurred at the Windsor Assembly Plant, which is currently shut down for a major retooling project.
Karl Lovett, business manager of the International Brotherhood of Electrical Workers Local 773 in Windsor, said he received many calls from his members in the last week.
"Everybody on the job was furious," said Lovett. "They're really outraged and enraged."
Lovett said his members are among the thousands of contractors currently working on retooling the Chrysler engine plant.
Lovett said he is urging the person or persons responsible for the alleged incidents to come forward.
"There are thousands of people in there right now. Somebody had to have seen something," he said, citing that if the person(s) responsible was a member of his union, he would not hesitate to fire them.
"I would make sure it would come down on them because it's completely unacceptable ... the person would definitely be facing expulsion from the union. " he said. "We don't know who did it or what trade did it but somebody did it and they should definitely pay the piper."
FCA Canada issued a statement stating, "FCA Canada has a zero-tolerance policy regarding harassment or discrimination of any kind. This policy applies not only to our own employees, but also to vendors or contractors working at our facilities. We are currently working in cooperation with local authorities to investigate a recent allegation of workplace harassment made at our plant."