Mohammad Javad Ataei - Department of Mathematics, Payame Noor University, Iran
Malihe Taghian Dinani - Department of Mathematics, Payame Noor University, Esfahan, Iran
Mohammad Mokhtari Dinani - Department of Mathematics, Payame Noor University, Esfahan, Iran

In this paper we define connected component of K-geometric space and give some results on strongly transitiveK-geometric space that having at least two connected components. Also we introduce union of stronglytransitive K-geometric spaces and give some properties.