Geometric properties of complex spaces have applications in various branches of knowledge

among others in martingales theory

operator theory

harmonic analysis

Banach algebras

differential equations

hydrog- ynamics theory and quantum mechanics theory. Criteria for complex extreme points have an important role in the study of the geometric properties of spaces. In this paper

the notion of the complex extreme point is introduced in the Orlicz modular spaces

moreover

criteria for complex extreme points of the unit ball in the Orlicz modular func- tion spaces and the Orlicz modular sequence spaces are given respectively.