This study deals with the convergence properties of Struve matrix functions within the complex analysis. Certain new classes of matrix differential recurrence relations, matrix differential equations, the various families of integral representations and integrals obtained here are believed to be new in the theory of Struve matrix functions, and the several properties of the modified Struve matrix functions are also included. Finally, we investigate the operational rules which yield a different view of the expansion formulae for Struve and modified Struve matrix functions.