<p>We present exact analytical solutions for the <i>N</i>-dimensional quantum harmonic oscillator in Snyder-de Sitter space, a noncommutative geometry characterized by constant positive curvature and minimal length. The underlying algebra modifies the canonical commutation relations to simultaneously integrate the effects of curvature and noncommutativity, leading to generalized uncertainty principles. Using the Nikiforov-Uvarov method, we obtain closed expressions for the energy spectrum and the corresponding wavefunctions. The deformation introduces corrections to the spectrum while preserving the <i>SO</i>(<i>N</i>) rotational symmetry and the resulting degeneracies. The formalism also highlights the existence of simultaneous lower bounds on the position and momentum uncertainties, providing a coherent theoretical framework for analyzing the impact of geometric deformations on the spectral properties of quantum systems in a curved, noncommutative phase space.</p>