Based on the observed time series, power spectra, and phase portraits of the laser output, the nonlinear dynamics of 1 550 nm Vertical-Cavity Surface-Emitting Lasers (1 550 nm-VCSELs) under the negative optoelectronic feedback were investigated. The results show that, for a given bias current, 1 550 nm-VCSEL subject to negative optoelectronic feedback can exhibit rich nonlinear dynamic states such as Regular Pulsing (RP), Quasiperiodic Pulsing (QP), and Chaotic Pulsing (CP) under different feedback strength. On the other hand, for a fixed feedback strength, through adjusting the values of the bias current, diverse dynamical states can also be observed in 1 550 nm-VCSEL subject to negative optoelectronic feedback. Finally, a mapping of dynamical states was given in the parameter space of bias current and feedback strength, and the evolution routes of dynamic states were also analyzed. For the case of small bias current and weak optoelectronic feedback, the laser almost operates at stable state (S). For the case of higher bias current, the dynamical behaviors of the laser follow a repeated RP-QP-RP route to CP state. When the bias current is increased to a certain level, the dynamical behaviors of the laser follow a repeated RP-QP-CP evolution route with the increase of optoelectronic feedback strength.