Yes, a lease can automatically renew in Minnesota. Leases may include an automatic renewal clause (if the lease is for two months or more). In this case, the tenant must provide notice that they wish to discontinue tenancy.
The landlord must also send the tenant a written notice 15 – 30 days before the tenant would be required to provide notice that they do not want to continue tenancy (MN Stat § 504B.145 (2019)).
If there is no renewal clause, a tenant who remains on the property after the lease has expired is implied to have a month-to-month tenancy, except when rent is paid weekly (MN Stat § 504B.141 (2019)). To terminate this type of at-will tenancy, the landlord or tenant must submit 30-days’ notice in writing (MN Stat § 504B.135 (2019)).
The information for this answer was found on our Minnesota Residential Lease Agreement answers.