In this paper, We propose a novel bivariate probability model constructed by coupling exponentiated sine exponential marginal distributions via the Farlie-Gumbel-Morgenstern (FGM) copula, termed the FGM Bivariate Exponentiated Sine Exponential (FGMBESE) distribution. Key statistical properties of the model are derived and examined. The parameters of the proposed distribution are estimated using the method of maximum likelihood. Finally, the flexibility and effectiveness of the proposed model are illustrated through real data analysis.