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A class of Riemann-Cartan Gödel-type spacetimes are examined in the light of equivalence problem techniques. The conditions for local spacetime homogeneity are derived, generalizing previous works on Riemannian Gödel-type spacetimes. The equivalence of Riemann-Cartan Gödel-type spacetimes of this class is studied. It is shown that they admit a five-dimensional group of affine isometries and are characterized by three essential parameters , m 2 , ω: identical triads ( , m 2 , ω) correspond to locally equivalent manifolds. The algebraic types of the irreducible parts of the curvature and torsion tensors are also presented.