  In this article we investigate the Hawking radiation of vector particles from
the apparent horizon of a Friedmann-Robertson-Walker (FRW) universe in the
framework of quantum tunneling method. Furthermore we use Proca equation, a
relativistic wave equation for a massive/massless spin-1 particle (massless
$\gamma$ photons, weak massive $W^{\pm}$ and $Z^{0}$ bosons, strong massless
gluons and $\rho$ and $\omega$ mesons) together with a Painlev\'{e} spacetime
metric for the FRW universe. We solve the Proca equation via Hamilton-Jacobi
(HJ) equation and the WKB approximation method. We recover the same result for
the Hawking temperature associated with vector particles as in the case of
scalar and Dirac particles tunnelled from outside to the inside of the apparent
horizon in a FRW universe.
