LRS Bianchi Type-II space – time is considered in the presence of a perfect fluid source in the framework of f(R,T) gravity proposed by Harko et al. [Phy.Rev-D 84, 024020(2011)]. An exact cosmological model with an appropriate choice of the function f(RT) is obtained using a special law of variation for Hubble’s parameter proposed by Bermann ( Nuovo Cimento B 74. 182,1983). The physical behavior of the cosmological model is, also, studied.