Tuberculosis　is　one　of　leading　threats　to　human　beings＇　health.　Thus,　the　screening　is　essential　as　it　can　contribute　to　the　more　effective　treatment　of　the　patients　infected　with　tuberculosis　and　the　reduction　of　unintended　infection　from　these　patients　to　others.　Adopting　the　Cox　survival　model　to　characterize　the　infection　probability,　an　optimal　screening　strategy　is　proposed　to　minimize　the　corresponding　total　cost.　Numerical　examples　are　presented　to　illustrate　the　proposed　model.　©　2019　IEEE.