See the most common pet addendum examples to include in a rental lease agreement. A pet addendum does exactly that it's designed to address both parties' rights and responsibilities regarding pets in a rental property.A pet addendum gives permission to allow the tenant to have pets on the rental property. It requires the tenant will be responsible for their pet(s). Here's a sample Pet Agreement for renters with guidelines for requirements, responsibilities and how to manage issues. A Pet Addendum is a legally binding agreement that modifies a Lease Agreement to allow a tenant to keep pets on the rental premises. I'm reaching out to see if anyone has any insight on my situation. This Pet Agreement is an addendum to the rental contract between the Landlord and Tenant(s). Some common types of residential lease addendums include: Pet Addendum: This addendum allows tenants to keep pets on the rental property. These terms should not conflict with any local laws or housing regulations.