An implicit lattice Boltzmann equation to simulate the locally averaged flow behavior of disperse two-phase mixtures is presented. Using a multiscale expansion technique, it is shown that these equations reduce to the widely used two-fluid model for flows of such suspensions. The viability of the lattice Boltzmann approach is demonstrated through illustrative examples. The lattice Boltzmann scheme is easy to program and it parallelizes readily. It is suggested that this approach may serve as an attractive alternative to conventional approaches to solving the two-fluid model equations.