Yes, a lease can automatically renew in New Mexico. Usually, there is a clause in the lease that describes the actions a tenant must take in order to end a lease that will automatically renew. This may mean giving a 30-days’ notice if they want to move.
If the tenant remains on the property after the lease expires (and there is no clause for automatic renewal), the landlord can approve of this continued tenancy (NM Stat § 47-8-37(C) (2019)). With landlord approval, the renewal will be on a month-to-month basis unless rent is paid weekly (NM Stat § 47-8-15(C) (2019)).
To end the tenancy after it has been renewed in this way, either party must give 30-days’ written notice to end a month-to-month tenancy or 7-days’ written notice to end a week-to-week tenancy (NM Stat § 47-8-37(A-B) (2019)).
The information for this answer was found on our New Mexico Residential Lease Agreement answers.