Finsler geometry, a type of math created by P. Finsler, is like a more advanced version of Riemannian geometry. In this paper, new types of Finsler spaces were introduced, called generalized $W^{h}$ -birecurrent spaces. These spaces have specific properties related to certain mathematical operations. The researchers found important conditions for certain tensors in these spaces, which can help in solving problems in physics and mathematics.