The　Schwarz　primitive　triply　periodic　minimal　surface(P-type　TPMS)lat-tice　structures　are　widely　used.However,these　lattice　structures　have　weak　load-bearing　capacity　compared　with　other　cellular　structures.In　this　paper,an　adaptive　enhancement　design　method　based　on　the　non-uniform　stress　distribution　in　structures　with　uniform　thickness　is　proposed　to　design　the　P-type　TPMS　lattice　structures　with　higher　mechan-ical　properties.Two　types　of　structures　are　designed　by　adjusting　the　adaptive　thickness　distribution　in　the　TPMS.One　keeps　the　same　relative　density,and　the　other　keeps　the　same　of　non-enhanced　region　thickness.Compared　with　the　uniform　lattice　structure,the　elastic　modulus　for　the　structure　with　the　same　relative　density　increases　by　more　than　17％,and　the　yield　strength　increases　by　more　than　10.2％.Three　kinds　of　TPMS　lattice　structures　are　fabricated　by　laser　powder　bed　fusion(L-PBF)with　316L　stainless　steel　to　verify　the　proposed　enhanced　design.The　manufacture-induced　geometric　devia-tion　between　the　as-design　and　as-printed　models　is　measured　by　micro　X-ray　computed　tomography(μ-CT)scans.The　quasi-static　compression　experimental　results　of　P-type　TPMS　lattice　structures　show　that　the　reinforced　structures　have　stronger　elastic　moduli,ultimate　strengths,and　energy　absorption　capabilities　than　the　homogeneous　P-TPMS　lattice　structure.