A class of Riemann-Cartan Godel-type spacetimes are examined in the li
ght of equivalence problem techniques. The conditions for local spacet
ime homogeneity are derived, generalizing previous works on Riemannian
Godel-type spacetimes. The equivalence of Riemann-Cartan Godel-type s
pacetimes 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 l, m(2), omega: identical triads (l, m(2), omega
) correspond to locally equivalent manifolds. The algebraic types of t
he irreducible parts of the curvature and torsion tensors are also pre
sented.