Public　key　encryption　with　keyword　search　(PEKS)　is　able　to　enhance　cloud　data　security.　On　the　other　hand,　the　existence　of　malicious　cloud　servers　and　untrusted　central　authorities,　in　addition　the　keyword　space　faces　a　low　entropy,　attackers　often　launch　keyword　guessing　attacks　(KGA),　thereby　leaking　data　privacy.　Therefore,　we　use　certificateless　authentication　and　proxy　re-encryption　technology　to　construct　a　lattice-based　verifiable　PEKS　scheme　for　Multi-Data　Users　(MDU).　Certificateless　authentication　can　ensure　that　our　scheme　does　not　require　key　escrow,　and　proxy　re-encryption　technology　allows　us　to　perform　multi-user　authorization　and　use　the　verification　block　for　data　users　to　ensure　the　integrity　of　search　results.　Security　research　proves　that,　under　the　assumption　that　the　learning　with　errors　(LWE)　problem　is　hard,　the　ciphertext　is　indistinguishable　and　resistant　to　KGA.　Results　from　experiments　show　that　our　scheme　is　significantly　more　effective　than　current　schemes.　Our　scheme　is　based　on　proxy　re-encryption　concept,　proposes　a　lattice-based　verifiable　public　key　encryption　with　keyword　search　that　supports　multi-user　authorization　in　a　certificateless　environment.　The　scheme　satisfies　the　ciphertext　is　indistinguishable　and　resists　keyword　guessing　attacks　under　the　assumption　of　the　hardness　of　the　learning　with　errors　problem.　image