In　this　study,　two　discretization　numerical　methods,　modal　discretization　and　spatial　discretization　methods,　were　proposed　and　compared　when　applied　to　the　gyroscopic　structures.　If　the　distributed　gyroscopes　are　attached,　the　general　numerical　methods　should　be　modified　to　derive　the　natural　frequencies　and　complex　modes　due　to　the　gyroscopic　effect.　The　modal　discretization　method　can　be　used　for　cases　where　the　modal　functions　of　the　base　structure　can　be　expressed　in　explicit　forms,　while　the　spatial　discretization　method　can　be　used　in　irregular　structures　without　modal　functions,　but　cost　more　computational　time.　The　convergence　and　efficiency　of　both　modal　and　spatial　discretization　techniques　are　illustrated　by　an　example　of　a　beam　with　uniformly　distributed　gyroscopes.　The　investigation　of　this　paper　may　provide　useful　techniques　to　study　structures　with　distributed　inertial　components.