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In this study, we applied the Interacting Boson Model (IBM-I) to compute the electric reduced transition probabilities B(E2) of even-even neutron rich 186W and 186Os isobars. The ratio R4/2 = E(41+)/E(21+) has also been calculated for those isobars and the SU(3) symmetry for those isobars has been reported. E(41+) and E(21+) indicate the energy level of 41+ and 21+, respectively. We have described the strength of B(E2) in W.u. for 186W and 186Os isobars of some of the low-lying quadrupole collective states in contrast to obtainable measured data. The electric reduced transition probabilities B(E2) from yrast state gamma transition from 12+ 10+, 10+ 8+\8+ 6+\6+ 4+\4+ 2+ and 2+ 0+ and other bands states and B(E2) ratio of 186 W and 186 Os isobar have been compared with obtainable measured data and other previous studies. Also calculated were the systematic strength of B(E2), intrinsic quadrupole moments, and deformation parameters of even-even 186W and 186Os isobars. The data from these calculations are in good matching with the obtainable measured data. The IBM-I model for the strength of B(E2) has been systematically deduced in SU(3) limit for a few yrasts states transitions in 186W and 186Os isobars. [ABSTRACT FROM AUTHOR]