This property has to belong to some one. You need to go the the deed records and do some research into this to be safe. Even with that the city may want to take the property for back taxes. Best to check with them first.
Although it seams to be abandoned... someone probably owns it somewhere. There is no such thing as unowned land for grabs in this country anymore. And like the other guys said, if it really is abandoned the city/ county will get it. There is also this thing called a foreclosure...
This is something that makes no sense to me..if the property is owned by the city, dont they have the same legal responsibility for upkeep that the rest of property owners do? I'm so sick of all of these abandoned houses,etc that look like crap, that have become the city's property yet they dont put any money into them, therefore making the whole area surrounding suffer...I've seen it..no one wants to move in, people move away, property value goes down, bc things like, vandalism, squatting, drug dealing....sorry for ranting....I live in city...idk....listen to people above...sorry no help
Find out if it's really abandoned by checking the county tax records. If it's truly been abandoned, there will be a long stream of unpaid property taxes. It varies state to state and county to county, but there are usually procedures where you can acquire the property by paying the back taxes and making appropriate legal notifications to the owner.
If there are no back taxes owed, your only option is to contact the owner and offer to buy it. If they're unwilling to sell, there's little you can do to force them. I suppose you could call the city on any code violations, but then you're getting pretty mean.