Lockport Marketplace at Lutsen. Lutsen Township is one of the three townships of Cook County, Minnesota, United States. The population was 360 at the 2000 census. The unincorporated community of Lutsen is located within the township. The township was named in commemoration of the Battle of Lützen (1632). The township is known across the state for the Lutsen Mountains ski resort, which is the townships's largest employer.