The ZEPLIN II dark matter detector utilizes the excellent radioactive background rejection capability of liquid xenon. The high ionization yield due to radioactive background events gives excellent handle on background discrimination on an events by event bases. In addition the primary scintillation light response of a nuclear recoil event is different than that of a background event (gammas and electrons) which allows for additional pulse shape discrimination. I will show the recent ZEPLIN I limit (3.1kg fiducial volume using PSD only) which is already lower than DAMA region. The liquid xenon dark matter detection was first proposed and developed by UCLA and Torino group in ICARUS collaboration. The central detector construction is supported by DOE and the operation in Boulby Mine, UK is support by both DOE and NSF. The main underground operation, the detector integration as well as the shielding veto will be provided by UKDMC.