World number two Trump was in imperious form, compiling breaks of 121, 113, 96, 63 and 57 on his way to victory in his opening Group B encounter.
PTC Grand Final champion Lee had no answer to Trump and when he did find some form - in the final frame - it was too little too late.
"Stephen missed a few tonight and that gave me lots of chances. I played alright and felt very comfortable out there," said Trump.
"It’s all about the money,” joked Trump, who won £2,000 for his two century breaks.
"When you’re on 60 or 70 you start to think about it as £1,000 is a lot of money. After the third frame I could relax as I was not really under any pressure. Everyone here loved it tonight!"
Earlier, Ding Junhui had registered the first win of the new season, beating Shaun Murphy 4-2 in Group A.
“I’m really pleased with such a great start to the league,” said Ding.
“With only four matches it’s important to get off to a good start and when I reached three frames first I could relax a little.
“Shaun played well throughout so I’m really delighted with the win."
Shaun Murphy 2-4 Ding Junhui
(81-22, 54-55, 0-82, 76-9, 11-79, 14-72)
Judd Trump 5-1 Stephen Lee
(57-47, 96-0, 63-, 121-0, 113-0, 0-68)