Macellum owns about 5% of the retailer and wants its candidates to replace some of the long-tenured directors, including chairman Peter Boneparth and other members of the executive committee.
This is not the first attempt by Macellum, which is led by veteran retail investor Jonathan Duskin, to change the board.
Shareholder pressure for Kohl's returned again last month when Ancora Holdings, one of the hedge funds that spearheaded a board shake-up last year, sought the removal of chief executive and board chairman.
In its letter to investors, Macellum also said it had recently approached the board to work together on a refresh, but that was rebuffed by the chairman.
Kohl's said the interactions with Macellum over the past two years have been "unproductive and a distraction from running the business".