A family of narrow linewidth integrated optical distributed Bragg reflector- (DBR-), distributed feedback- (DFB-), and DBR-/DFB-coupled cavity lasers with Er-doped LiNbO3 single-mode waveguide is reviewed. They have one or two photorefractive gratings in Fe-doped waveguide sections. Two types of DBR-lasers have been developed. The first type has a cavity consisting of one Bragg-grating in a Ti:Fe:LiNbO3 waveguide, a gain section with Ti:Er:LiNbO3 waveguide, and a multi-layer dielectric mirror deposited on one polished end face. The second DBR-cavity consists of two gratings in Ti:Fe:LiNbO3 on both sides of the Er-doped waveguide. Their power characteristics and spectral properties were investigated. Single-frequency operation could be achieved in the latter case at various wavelengths in the Er-band (1530nm <λ< 1575nm) with up to 1.12mW output power. A DFB-laser with two lowest-order modes has been demonstrated with a photorefractive grating in a Ti:Fe:Er:LiNbO3 waveguide; it is combined with an integrated optical amplifier on the same substrate. Moreover, an attractive DBR/DFB coupled cavity laser has been developed and investigated. Its cavity consists of a photorefractive Bragg grating in the Ti:Fe:Er:LiNbO3 waveguide section close to one end face of the sample, a Ti:Er:LiNbO3 gain section and a broadband dielectric multi-layer mirror of high reflectivity on the other end face.