Based on proposing the definition of E-semi-preinvex interval valued functions and discussing their properties, the optimality conditions for E-interval-valued programming with inequality constraints are investigated. The existence of E-semi-preinvex interval valued functions is verified through concrete examples, accompanied by several interesting characteristics of these functions. Under constraint qualification assumptions, sufficient and necessary optimality conditions for E-interval valued programming are rigorously derived. Results reveal the intrinsic relationship between E-semi-preinvex interval valued functions and E-semi-invex interval valued functions, establishing sufficient and necessary KKT optimality conditions for E-semi-preinvex interval valued programming. The research demonstrates the abundant existence of E-semi-preinvex interval valued functions and confirms their significance in interval valued optimization studies. The obtained conclusions enrich theoretical investigations in interval valued programming and related fields.