The structure of the clean Co(1010) surface has been analysed by LEED. Application of a recently developed computational scheme reveals the prevalence of the termination A in which the two topmost layers exhibit a narrow spacing of 0.62 \xc5, corresponding to a 12.8(\xb10.5)% contraction with respect to the bulk value, while the spacing between the second and third layer is slightly expanded by 0.8(\xb10.2)%.