Not true. Paris had zoning laws (including building height restrictions and business location restrictions) since before Haussman, in the early 1800s[0].
New York passed the first US laws, as far as I can tell from a quick search (although I do see vague references to San Francisco using zoning laws against the Chinese in the 1880s, and a lot of people, including Wikipedia, quoting a more limited achievement of 'the first comprehensive/city-wide zoning laws' for New York), but Europe definitely predated them. I believe Germany and some other countries also had them, besides France.
[0]: http://books.google.com/books?id=dONVGtJzxrwC&pg=PA20&lpg=PA...