Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2389 2022 2022 University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China Lee Xu This paper is dedicated to defining and studying the concept of congruencies in l-groups, where we prove the following main results: 1)       If θ is a congruence relation on l-group G, then  is l-group. 2)       If  is l-group, then for  holds:  if and only if  are equivalent. Also, we illustrate many examples to clarify the validity of our work. 2023 2023 26 30 10.54216/GJMSA.0100103 https://www.americaspg.com/articleinfo/33/show/2389