  In this paper, a cosmological model with an isotropic form of the
Morris-Thorne type wormhole was derived in a similar way to the McVittie
solution to the black hole in the expanding universe. By solving Einstein's
field equation with plausible matter distribution, we found the exact solution
of the wormhole embedded in Friedmann-Lema\^{\i}tre-Robertson-Walker universe.
We also found the apparent cosmological horizons from the redefined metric and
analyzed the geometric natures, including causal and dynamic structures. The
Hawking temperature for thermal radiation was obtained by the WKB approximation
using the Hamilton-Jacobi equation and Hamilton's equation, near the apparent
cosmological horizon.
