A Minnesota sublease agreement details the terms of a sublet arrangement between a current tenant (sublessor) and a third party (sublessee). Create your Minnesota sublease agreement, and sublet your property.Rent your unit to a subtenant and use our free template. Minnesota law requires written consent from the original landlord for subleasing. This may be part of the initial lease or a separate agreement. Create an effective Minnesota sublease agreement with a free and customizable template. Fill, edit, send, and save this document as a PDF for safekeeping. The first part of your sublease agreement must include the sublessor's full name, their address, the subtenant, and the subtenant's address. A sublet, or sublease agreement, adds someone new to an existing lease. Minnesota Sublease Agreement is a document between a tenant and a subtenant whom agrees to rent the same property.