In the present paper, we introduce and investigate a new subclass of biunivalent functions of complex order defined in the open unit disk, which are associated with Wright hypergeometric functions and satisfying quasi-subordinate conditions. Furthermore, we find estimates on the second and the third coefficients of the TaylorMaclaurin series for functions in the new subclass. Several special consequences of the results are also pointed out. © 2018 by Eudoxus Press, LLC. All rights reserved.