A modified nonlinear amplifying loop mirror mode- locked laser is demonstrated. In this setup, nonreciprocal elements are included into traditional“figure eight”and“s-like”cavities in order to decrease the length of essential fiber required to accumulate nonlinear phase shift. As a result, the repetition rate of these lasers is significantly increased. In addition, the self-starting characteristic is also improved. The passive mode-locking operation of traditional“figure eight”polarization maintaining (PM) fiber lasers requires real saturable absorbers, such as semiconductor saturable absorber mirror, or carbon nanotube. In this work, by using nonreciprocal elements, passive mode locking in a modified“figure eight”polarization maintaining Er-fiber laser is realized. The laser works in soliton regime and generates 308 fs pulses with an average power of 23.6 mW at a repetition of 22 MHz . The repetition rate of traditional“figure eight”fiber lasers is limited to 10 MHz. By using nonreciprocal elements, a non PM Er-fiber laser based on a modified“s-like”cavity working at stretched pulse regime generates pulses with an average power of 36 mW at a repetition of 80 MHz. The same laser working at normal dispersion domain generates pulse train with an average power of 14 mW at a repetition of 53.6 MHz.