No, in the state of Florida, there is no requirement to register a handgun with the state government. Florida law actually explicitly prohibits the creation or maintenance of any list or record of privately owned firearms or their owners (Florida Statute 790.335), calling such registries a violation of the Second Amendment. When you purchase a handgun from a licensed dealer (FFL), you must undergo a background check via the FDLE, and the dealer maintains a "record of sale" for their own federal compliance, but this information is not sent to a state-run "registry" of owners. Furthermore, as of July 1, 2023, Florida became a "Permitless Carry" state, meaning that if you are a legal resident and meet certain criteria, you can carry a concealed handgun without a state permit, though you still do not register the firearm. It is a "pro" tip to remember that while there is no registration, you must still follow strict "safe storage" laws if children are present in the home, and you cannot carry your unregistered (or registered) handgun into restricted areas like courthouses, schools, or bars.