In the phase space of dynamical systems, the stable points together with their neighbouring regions form the so-called Poincaré-Birkhoff islands in the chaotic sea that may form a chain or some regular two dimensional lattice structures in phase space. For example, the effective Hamiltonian of kicked harmonic oscillator (KHO). can possess square lattice, triangle lattice and even quasi-crystal structures in phase space depending on the ratio of kicking number. In fact, any arbitrary phase space lattice can be engineered by selecting an appropriate kicking sequence for the KHO.