Electron Beams emitted from a point field emitter and its array are proposed to be a promising particle source for the advanced use of the beam where the brightness is required to be as large as possible. Described are the problems to be studied related to the generation and propagation of the beam such as the tunneling from the inside of the cathode material to vacuum, beam dynamics including space charge effect associate to the high current intensity on the emitting surface and redistribution of the beam distribution function, and interaction between the beamlets coming from the array of the emitters. Results of the preliminary measurement of the intrinsic emittance of the beam are also given. ©1996 American Institute of Physics.