Pulsars and Fast Radio Bursts (FRB) are some of the most energetic and "fast" objects in radio astronomy. They are both possibly from "neutron stars". In this talk, I will introduce some of my group and collaborators' pulsars and FRB research using the Five-hundred-meter Aperture Spherical radio Telescope (FAST). I will talk about the discovery and timing of new pulsars, testing theories of gravitation using pulsar timing, and measuring pulsar emission and geometry. I will also talk about some of the FAST FRB key science project results, including the large sample repeating FRB studies and the radio follow-up of the Galactic FRB source -- SGR J1935+2154.