In this study, we consider bivariate generalized Gould-Hopper based poly-Euler polynomials with q parameter utilizing polylogarithm function, which can be interpreted with a natural extension of the familiar logarithm function, and study some of their properties and relations. We first obtain some basic summation formulae and addition properties. We then investigate some correlations with the Stirling numbers of the second kind and the Gould-Hopper polynomials. Moreover, we develop several implicit summation formulas for the bivariate generalized Gould-Hopper based poly-Euler polynomials with q parameter. We finally provide three symmetric identities for these polynomials.