The Saints ran in four tries at the Halliwell Jones Stadium to clinch a 22-10 triumph.
"It was definitely our best performance so far," Brown told Sky Sports News. "The opposition are a very good team led by a very experienced coach.
"In the second half they fought back, as you would expect, and it was a tough game. They are tough players and to beat them is pleasing."
Friday's win has lifted St Helens up to fifth place in the Super League table.