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Let q, h, a, b be integers with q > 0. The classical and the homogeneous Dedekind sums are defined by, respectively, where, The Knopp identities for the classical and the homogeneous Dedekind sum were the following: where σ(n) =Σd{pipe}nd. In this paper generalized homogeneous Hardy sums and Cochrane-Hardy sums are defined, and their arithmetic properties are studied. Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums are given. © 2012 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.