He was also fined the maximum allowable amount for an England Lions player, which ESPNcricinfo understands is close to 1500.
The Duckett incident follows Ben Stokes' involvement in a brawl outside a Bristol nightclub in September and Jonny Bairstow's headbutt greeting for Australia Test opener Cameron Bancroft in Perth in late October.
The England and Wales Cricket Board confirmed Duckett's punishment in a brief statement yesterday.
Duckett and his Lions colleagues were joined by around ten members of the Ashes squad, freshly arrived back in Perth after going 2-0 down with three to play against Australia.
The left-hand batsman was left out of England's two-day tour game against Cricket Australia XI which ended on Sunday after reports of him dousing Anderson - England's all-time leading wicket-taker - in a bar emerged in the early hours of Friday morning.
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Australia can regain the Ashes if they beat England in the third Test in Perth, which gets underway on December 14, and Lehmann has urged his players to not get distracted by England's disciplinary issues.
The Duckett-Anderson drama unfolded the first night after European Central Bank director of cricket Andrew Strauss agreed to a temporary relaxing of a midnight curfew, which was imposed two weeks ago as a result of the Bairstow headbutt. Earlier, England had arrived in Australia amidst a lot of criticism after star all-rounder Ben Stokes was involved in a brawl outside a Bristol nightclub in September, which is awaiting a verdict from United Kingdom prosecutors.
"We might have to review who is in the team".
Non-drinker Moeen is certainly sick of hearing about team-mates showing up the touring party, saying: "We're all grown men and we should know how to behave".
However, Lehmann asserted that England's off-field woes were not something to laugh about. "No".
"Maybe the culture needs to change". We want cricket to grow for kids, and for families to come and watch, so we have to be on our best behaviour. "But these days, small things ... people make them into big things". It's not always easy.