International Cricket Council match referee Jeff Crowe dismissed Lee's claim that he thought West Indian umpire Steve Bucknor had given England's Kevin Pietersen out leg before wicket early on the second day of the Test.
"Brett is confused about this verdict, in that he thought he saw the umpire gesture that it was out," Crowe said in fining Lee 3,125 dollars (2,400 USD) of his match fee.
"The simple fact is that Brett did not stop and wait for the umpire's actual decision, out or not out, before starting his celebrations, something that has been stipulated over the past three years."
Lee's sanction continued a poor disciplinary record for the Australian team over the past 18 months.
Captain Ricky Ponting was fined 75 percent of his match fee for dissent in reaction to being run out by England substitute fielder Gary Pratt at Trent Bridge in last year's Ashes series.
Batsman Simon Katich was docked half his match fee for showing dissent towards an umpire's decision in the same match.
Lee, Glenn McGrath and Adam Gilchrist were all penalised for incidents last Australian summer.
Ponting was fined 25 percent of his match fee for showing dissent in a Test in Bangladesh in April, and was docked his entire match fee for dissent during a day-night match against the West Indies in Kuala Lumpur.