We present a simulation study on network formations of microtubules and kinesin-streptavidin complexes confined in liposomes. The simulations were performed with a Brownian dynamics simulation. The simulations showed that microtubules formed aster-like networks pointing their plus ends toward the centers of the liposomes they were confined. During the formations, by moving towards the microtubule plus ends, kinesin-streptavidin complexes served as moving crossbridges between two microtubules. Effects of the density of kinesin-streptavidin complexes were also discussed.