In this paper we investigate theoretically the electronic and optical properties of six based Iridium imidazolylidene complexes (numbered 1a, 1b, 2, 2b, 3, 3b) serving as serious candidates for OLED systems. Computations using methods rooted into DFT and TD-DFT explain the observed optical properties. Observed absorption bands have been assigned and computations of the lowest triplet excited states have been performed. Whereas complexes 1a and 1b are non-emissive in solution, the simulated phosphorescence spectra of complexes 2, 2b 3, 3b taking into account the vibrational contributions to the electronic transitions fit nicely the observed ones. The use of vibronic coupling permitted to reproduce and explain the structured phosphorescence spectrum of complexes 2 and 2b, as well as the absence of such structure for complexes 3 and 3b.