  We derive a general set of acceptable junction conditions for $F(T)$ gravity
via the variational principle. The analysis is valid for both the traditional
form of $F(T)$ gravity theory as well as the more recently introduced Lorentz
covariant theory of Kr\v{s}\v{s}\'ak and Saridakis. We find that the general
junction conditions derived, when applied to simple cases such as highly
symmetric static or time dependent geometries (such as spherical symmetry)
imply both the Synge junction conditions as well as the
Israel-Sen-Lanczos-Darmois junction conditions of General Relativity. In more
complicated scenarios the junction conditions derived do not generally imply
the well-known junction conditions of General Relativity. However, the
junctions conditions of de la Cruz-Dombriz, Dunsby, and S\'aez-G\'omez make up
an interesting subset of this more general case.
