First Direct Measurement of the Parity-Violating Coupling of the Z0 to the s-Quark We have made the first direct measurement of the parity-violating coupling of the Z0 boson to the strange quark, A_s, using 550,000 e+e- -> Z0 -> hadrons events produced with a polarized electron beam and recorded by the SLD experiment. Z0->s-sbar events were tagged by the absence of B or D hadrons and the presence in each hemisphere of a high-momentum K+- or K0s. From the polar angle distributions of the strangeness-signed thrust axis, we obtained A_s = 0.895+-0.066(stat.)+-0.063(syst.). The analyzing power and u-ubar+d-dbar background were estimated from the data.