Based on the period-one dynamical state emerging in a 1 550 nm vertical-cavity surface-emitting laser with parallel optical injection, high-quality photonic microwave was acquired after further introducing optoelectronic negative feedback. The experimental results show that, under parallel polarized optically injection, 1 550 nm vertical-cavity surface-emitting laser can exhibit rich nonlinear dynamics behaviors such as stable injection locking, period-one, period-two and chaos through adjusting injection strength and frequency detuning. Under suitable injection condition, a parallel polarized optically injected 1 550 nm vertical-cavity surface-emitting laser can generate a photonic-microwave signal with a single sideband optical spectrum structure and a frequency over 10 GHz, but the linewidth of the microwave signal is relatively wide (on the order of MHz). After further introducing optoelectronic negative feedback, the linewidth of the microwave signal can be narrowed to about 100 kHz (reduced to more than two orders of magnitude) by choosing proper photoelectric feedback intensity. Furthermore, under the case that the feedback strength is set at the optimized value, the frequency of the narrow-linewidth microwave signal can be tuned continuously within a certain range through simply varying the injection strength.