The Paris monument is normally open every day of the year and brings in thousands of visitors daily. It sometimes closes briefly for bomb threats or strikes.
The company that manages the tower said in a statement it did not open today because the staff is concerned about petty crime around the site. It said it is working with police to reach a solution so that the landmark can reopen.
The walkout comes the day after Paris authorities said crime against tourists had dropped this year thanks to reinforced police presence and video surveillance.