We demonstrate experimentally the procedure of coupling of a stochastic electromagnetic Gaussian Schell-model (EGSM) beam into a single-mode optical fiber. We find that the coupling efficiency depends closely on the coherence and polarization properties of the EGSM beam, which is consistent with theoretical prediction. Our results may find applications in connection with free-space optical communications and LIDARs, where coupling of a stochastic beam into an optical fiber is inevitable encountered.