We extend the recent proposal of twofold hidden conformal symmetry to the fourdimensional Kerr-Bolt-AdS-dS black holes. The J-picture of holographic description of Kerr-Bolt-AdS-dS black holes previously has been studied in the paper [B. Chen, A. M. Ghezelbash, V. Kamali, M. R. Setare, arXiv:1009.1497]. Here we present a new description, in view of the NUT charge of black hole. We consider the wave equation of a massless charged scalar field in our interesting background and show in the near horizon region, the wave equation can be reproduced by the SL(2,R)L × SL(2,R)R Casimir quadratic operators. Moreover, we compute the microscopic entropy of the dual CFT by Cardy formula and find a perfect match to Bekenstein-Hawking entropy of Kerr-Bolt-AdS-dS spacetimes. The absorption cross section of a near region scalar field also matches to microscopic absorption cross section of the dual CFT.