  Let $(X,d,\mu)$ be a non-homogeneous metric measure space satisfying both the
geometrically doubling and the upper doubling measure conditions. In this
paper, the boundedness of multilinear fractional integral operator in this
setting is proved. Via a sharp maximal operator, the boundedness of commutators
generated by multilinear fractional integral operator with $RBMO(\mu)$ function
on non-homogeneous metric measure spaces in Lebesgue spaces is obtained.
