The authors propose a new protocol for multizz- item electronic auctions .It has the following advantages: first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder can decide how many items to buy according to different bidding prices, which are set by the seller at the beginning of the auction; second, privacy is well preserved, no third parties are needed in the protocol and the auction outcome is jointly computed by the bidders on their own without uncovering any additional information. The authors propose a new protocol for multizz- item electronic auctions. It has the following advantages: first, the protocol is more applicable and flexible than the previous protocols, in this protocol, each bidder can decide how many items to buy according different bidding prices, which are set by the seller at the beginning of the auction; second, privacy is well preserved, no third parties are needed in the protocol and the auction outcome is jointly computed by the bidders on their own without uncovering any additional information.