The Kitaev model is an exactly solvable spin-1/2 system on the honeycomb lattice. It undergoes a topological phase transition from a phase with an energy gap carrying Abelian anyons to a gapless one with non-Abelian anyons. The model is generally considered a prototype to do quantum computation. We construct and exactly solve a three dimensional model which is a generalization of the Kitaev model. We further show that there are excitations localized on loops that can possibly obey nontrivial statistics.