The technique of a single-mode fiber coupling with a Travelling-wave Semiconductor Laser Amplifier (TW-SLA) was investigated theoretically. A set of simple and useful formulas were developed for designing the fiber ends. The coupling characteristics of the fibers having hemispherical sphere ends (HE), inter-taper-with-hemisphere ends (IE) and outer-taper-with hemisphere ends (OE) wore compared each other and analyzed. It was confirmed that the coupling efficiency a from fiber into TW-SLA chip is much greater for the cases of IE and OE than for HE, with OE being the most efficient. A -3 dB coupling loss between fiber and TW-SLA chip has been obtained with the optimum fiber ends in our experiments.