In this paper we introduce a new class LλΣ(φ) of λ-pseudo bi-starlike functions and determine the bounds for |a2 | and |a3 | where a2, a3 are the initial Taylor coefficients of (Forumala Presented). Furthermore, we estimate the Fekete-Szegö functional for f (Forumala Presented). © 2019, Transilvania University of Brasov 1. All rights reserved.