Is a property owner liable to others if there is fire on the owned property and the automatic sprinklers activate and cause water damage to the property of others?

It depends on how the lease is written. You may be liable if the damage was done as a result of actions caused by the landlord, and as such the landlord is responsible for the sprinkler system. However, you shold be covered under your insurance or better yet the other tenant should be covered under their insurance. The damage was done as a result of a properly working system which contained a fire and any subsequent damage done by the water should be covered by each tenants "renters insurance". Unfortunately without reading the lease I can only speculate. You may need an attorney to read the lease and advise you, you may be able to find it in the lease yourself. It depends on how the lease is written. You may be liable if the damage was done as a result of actions caused by the landlord, and as such the landlord is responsible for the sprinkler system. However, you should be covered under your insurance or better yet the other tenant should be covered under their insurance. The damage was done as a result of a properly working system which contained a fire and any subsequent damage done by the water should be covered by each tenants "renters insurance". Unfortunately without reading the lease I can only speculate. You may need an attorney to read the lease and advise you, you may be able to find it in the lease yourself.