There may be a couple states like CA, MA and IL that have laws for this but there are no Gun Control Act laws that apply. Below is directly from the ATF web site.
Do antique firearms come within the purview of the GCA? [Top]
No. "Antique firearms" are defined in the following:
TITLE 18 U.S.C. CHAPTER 44 SECTION 921(a) (16)
(16) The term "antique firearm" means-
(A) any firearm (including any firearm with a matchlock, flintlock, percussion cap, Or similar type of ignition system) manufactured in or before 1898; or
(B) any replica of any firearm described in subparagraph (A) if such replica- -
(i) is not designed or redesigned for using rimfire or conventional centerfire fixed ammunition, or
(ii) uses rinifire or conventional centerfire fixed ammunition which is no longer manufactured in the United States and which is not readily available in the ordinary channels of commercial trade; or
C) any muzzle loading rifle muzzle loading shotgun, or muzzle loading pistol, which is designed to use black powder, or a black powder substitute, and which cannot use fixed ammunition. For purposes of this subparagraph, the term 'antique firearm" shall not include any weapon which incorporates a firearm frame or receiver, any firearm which is converted into a muzzle loading weapon, or any muzzle loading weapon which can be readily converted to fire fixed ammunition by replacing the barrel, bolt, breech-block, or any combination thereof.
27 CFR 178.11
Antique firearm. (a) Any firearm (including any firearm with a matchlock, flintlock, percussion cap, or similar type of ignition system) manufactured in or before 1898; and (b) any replica of any firearm described in paragraph (a) of this definition if such replica (1) is not designated or redesignated for using rinifire or conventional centerfire fixed ammunition, or (2) uses rinifire or conventional centerfire fixed ammunition which is no longer manufactured in the United States and which is not readily available in the ordinary channels of commercial trade.
