In the present work, to improve the knowledge of and interactions better, the existence possibility of a bound state for the double-hyperonic three-body system ( Lambda-Lambda-proton, Lambda-Lambda-neutron ) has investigated in the computational point of view. To study the structure of these three-body systems, Nijmegen group ND, NF, NS, ESC models and Julich group JA, JB interactions, that coupling effect are explicitly considered for potential, and a pseudo-OBE model for interaction, have been used. Minimum energy value of system for the seven interaction models are obtained in range of 1.6 to 1.8 MeV and therefore no any bound state is found for these system.