  We study the nonrelativistic limit of solitary waves from Nonlinear
Maxwell-Klein-Gordon equations (NMKG) to Nonlinear Schrodinger-Poisson
equations (NSP). It is known that the existence or multiplicity of positive
solutions depends on the choices of parameters the equations contain. In this
paper, we prove that for a given positive solitary wave of NSP, which is found
in Ruiz's work \cite{R}, there corresponds a family of positive solitary waves
of NMKG under the nonrelativistic limit. Notably, our results contain a new
result of existence of positive solutions to (NMKG) with lower order
nonlinearity.
