To　study　the　influence　of　the　core　cell　on　the　structural　carrying　capacity,　in　this　paper,　lattice　sandwich　structure　optimization　model　was　established,　which　was　elaborated　by　tetrahedron　unit　cell　of　sandwich　structure.　For　the　purpose　of　verifying　the　effectiveness　of　the　optimization　model　and　the　solution,　a　sandwich　tic-tac-toe　beam　structure　with　the　goal　of　maximizing　the　stiffness　of　the　structure　was　optimized　by　using　the　method　of　sequential　quadratic　programming.　©　2016,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.