Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2621 2022 2022 Sherko Bekas High School, Kirkuk General Education Directorate, Kirkuk, Iraq Pshtiwan Pshtiwan The main purpose of this article is to introduce the concept of soft2-metric spaces that are new metric spaces based on the soft-elements and to study their properties, also to introduce some related concepts such as soft2- open ball, soft2 closed ball, soft2- open sets, soft2 closed sets, soft2-interior elements, soft2-limit elements, soft2-closure of sets, and study some of their properties.  And that is proved that every soft2- open ball is a soft2- open set, every soft2- closed ball is a soft2- closed set.  And reformulated and proved some theorems in soft2-metric space, such as Cantor's theorem and other theorems. 2024 2024 08 18 10.54216/GJMSA.0100201 https://www.americaspg.com/articleinfo/33/show/2621