In this investigation a new subclass of bi-univalent functions is established that are defined in the open unit disk ∆={Z ∈ ℂ: |Z| < l} and are endowed with the Sălăgean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated. © 2020 Published by ITB Institute for Research and Community Services.