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There is no specific law that prohibits a landlord from renting to more tenants than there are parking spaces. However, if a lease promises a tenant a parking space, then there must be enough spaces to fulfill that promise. That could mean giving assigned spaces to tenants whose lease includes a promise of a space or telling tenants without such a promise that they can't use the lot. However if the lease says something like "parking is available on a first come, first served basis," then no one has a guaranteed spot.
When a tenant needs an accessible space or needs a space near their front door because of a disability, then the Fair Housing Act would require the landlord to provide a space as a reasonable accommodation (although the tenant could be required to pay the costs of creating an accessible space or painting an exiting space to mark it as reserved). Requests for a reasonable accommodation can be made to a landlord in writing, and should include that phrase as well as the noting that the Fair Housing Act requires them to comply with the request.
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