Following the results of the investigation released Monday, Assembly Speaker Sheldon Silver said Kellner would be removed from his post as chairman of the committee on libraries.
Silver said Kellner also will not be permitted to have interns working in his office, and he will be required to attend sexual harassment training.
Silver said Kellner's conduct "cannot be tolerated." He said the Manhattan Democrat is ineligible for any other committee chairmanship.
In addition, an investigator will conduct semi-annual "climate surveys" of Kellner's staff to check for inappropriate conduct.
Kellner's spokesman said the assemblyman had no immediate comment.