In this talk, we will review and discuss Ytterbium doped fiber laser in 1064 nm band. For linear-cavity fiber laser schemes, the elements may base on a loopback optical circulator (OC), a broadband fiber mirror, a Faraday rotator mirror or a 2x2 fiber coupler integrated a partial reflectance fiber Bragg grating (FBG) as the front cavity end. For single-longitudinal mode (SLM) selection, using multiple subring cavities based on the Vernier effect, a piece of gain fiber saturable absorber as modes filter or their hybrid type. For wide-tuning range fiber laser, the wavelength tuning mechanism include the use of a broadband fiber mirror (BFM) integrated tunable FBGs as cavity ends, using a 3-point bending device, using a four-lamina composite device to facilitate wavelength tuning of FBGs, a large tuning range cover 1064 nm band with good resolution of 0.1 nm is obtained. Laser characteristics such as output, signal-to-noise ratio, linewidth, threshold pump power, pumping slope efficiency and side mode suppress ratio are measured. The pumping power efficiency may be improved more than 10% by recycling the residual pump power to the gain medium. With the advantages of simple structure, large pump slope efficiency and short cavity, the Ytterbium doped fiber laser may find potential applications in various ways.