registration of the marriage between a Chinese citizen and a US citizen

As for your marriage registeration in Florida, USA, you should consult your local faoreign affairs office. Normally, both of you have to provide your birth certificates and certificate of single status.

To make your marriage legal in PRC, you have to have yoru marriage publicized at your local Notary public, and then have it authenticated by the Consulate General of China in Houston. Finally, you can register your marriage at the Chinese citizen's home place.