Source : Webster's Revised Unabridged Dictionary (1913)

Assemblyman \As*sem"bly*man\ ([a^]s*s[e^]m"bl[y^]*man), n.; pl.
   {Assemblymen} (-men).
   A member of an assembly, especially of the lower branch of a
   state legislature.

Source : WordNet®

assemblyman
     n : someone who is a member of a legislative assembly