Okay, I’ve gotten used to the use of the misspelled word judgement on Iron Chef. However, now it’s also being used on ESPN Sports Center.
I did a little dictionary research to see if judgement, the misspelling, has gained acceptability. The answer is yes and no. One dictionary lists the "e" spelling as an alternative, but then goes on to illustrate the use judgement by citing sentence examples using judgment, the correct spelling. It also defined judgement narrowly, saying it was "the legal document stating the reason for a judicial opinion."
Bottom line–judgment is the only spelling, deriving from the French word jugement (which does use an "e," curiously).