Pulsars are an important constituent in the high energy universe. They accelerate particles to very high energies in three ways; electric field acceleration in the magnetosphere, conversion of Poyinting flux to particle kinetic energy in the wind region, and shock acceleration in the nebula region. Almost half a century has passed since the discovery of the first pulsar, but the emission mechanism is not yet fully understood. Recent observations of pulsars with high energy gamma-rays, which covered the highest end of the energy spectrum, brought a significant progress in our understanding of the pulsar. At the same time, a new "mystery" popped up. In this talk, after giving a brief introduction of pulsar physics, I will present the rapid progress in the pulsar physics in the last 5 years based on the MAGIC and Fermi measurements. I will explain how the Polar Cap was excluded as a gamma-ray emission region, why even basic Outer gap model cannot explain the Crab pulsar spectrum and what kind of new models are newly proposed. The possibility to use very high energy gamma-ray pulsation as a prove for pulsar wind physics will also be discussed. The talk will be closed with the future prospect for very high energy gamma-ray observation of pulsars with CTA.