The EPR spectra of single Co2+ ions and Co2+-Co2+ pairs in CsMg,-,Co,Cl, (x = O.OOO1 to 0.04) in Xand Q-bands are investigated. One type of single Co2+ spectra and four types of additional spectra attributed to Co2+-Coz+ pairs coupled by weak spin-spin interaction are observed. Using computer simulation of EPR spectra the parameters of spin-spin interaction are determined. The observed EPR spectra and the expected pair Co2+-Co2+ interactions in CsMg, _,Co,Cl, are analysed. The exchange parameters for the nearest neighbour Coz+-Coz+ pairs in the ab-plane are estimated. Thenature of the exchange anisotropy is discussed. MeTOAOM 3nP B x-H Q-~pianaso~ax HCCJEAOBaHbI CIIeKTpbI 3nP ORHHOYHbIX UOHOB c O z + H IIap c o 2 + -coz + B CsMg, -,CO,c~, (x = 0,0001 A0 0,04). 06HapyXeHbI OaUH THE CIIeKTpOB OAUHOYHbIX UOHOB c O z ' H WTbIpe THIIa ,L(OIIOJIHWTeJIbHbIX CIIeKTpOB, OTHeCeHHbIX K IIapaM UOHOB cOz+-c02+, CBR3aHHbIX CJIa6bIM CIIHH-CnUHOBbIM B3aUMOAe$kTBHeM. BCIIOJlb3yR MaIIIUHHOe MOAeJIHpOBaHHe CIIeKTpOB 3nP OIIpeAeneHbI napaMeTpbI CnEiH+XIHHOBOTO B3aBMOAekTBUR. npOaHaJIH3UpOBaHbI B03MOXHbIe BapUaHTbI OTHeCeHHR Ha6JIlOoAaeMbI CneKTpOB K OXHAaeMbIM IIapHbIM B3aEiMOAekT-BHRM c02+-c02+ OqeHeHbI 06MeHHbIe IIapaMeTpbI AJIR 6n~xaiiruux napc02 + -c02 + B IIJIOCKOCTH ab. 06CyXAeHa IIpUpOAa aHU30TpOIIHH 06MeHa. B CsMg, -,c0,c13. K:=-' = -1.618 K$;d = Kd-d = 0.097 K2z-d = -0.202 K ; i d = K:Y-d = 0.012 K:Ld = 0.062 K:Ld = 0.007 K $ i d = -0.014 K:*-' = 0.026 K $ i d = -0.009 K:y-d = 0.006 K$z-d = -0.018 K:Ld = -0.060 K:id = K:Y-d KtZ-' = -0.007 K$y-d = 0.003 K : i d = -0.014 YY = 0.004 K;Cd = -0.002