The objective of this paper is to introduce and study some sequence spaces over the geometric complex numbers by means of Museilak–Orlicz function. We make an effort to study some topological properties and inclusion relations between these sequence spaces. Moreover, by using the concept of non-Newtonian calculus we prove the completeness of the spaces. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.