The pumping source is the key technology of fiber Raman amplifiers applied in dense wavelength division multiplexing systems. A compact 1342 nm Nd3+∶YVO4 diode-pumped solid state laser(DPSSL) module pumped by 808 nm laser diodes is developed. A single-stage 1.4 μm fiber Raman laser is constructed by pumping a single-stage fiber Raman resonator based on fiber Bragg gratings with such 1342 nm diode-pumped solid-state laser module. The threshold property, the optimized setup of the diode-pumped solid-state laser module and the design scheme of the single-stage fiber Raman resonator are analyzed respectively. The diode-pumped solid-state laser module is presented with the total laser power of 655 mW and the slope efficiency of 42.6% pumped by a 2 W 808 nm laser diode. The light power conversion slope efficiency of the single-stage fiber Raman resonator achieves 75% and the total laser power at 1425 nm, 1438 nm, 1455 nm and 1490 nm achieves 300 mW each. Finally, a broadband, flat-gain distributed fiber Raman amplifier pumped by such lasers is presented.