Nope. He doesn't use a Master Ball according to Bulbapedia.
The Master Ball first appeared in Beauty and the Beach, and again in A Hot Water Battle. However, the Master Ball in these episodes was not an actual Master Ball; rather, it was a beach ball owned by Misty, which had been decorated to look like a Master Ball. Another Master Ball appeared in The Song of Jigglypuff; again, this was not an actual Master Ball, but on a billboard on a building.
An actual Master Ball made its only true appearance in Whiscash and Ash.
So the only real Master Ball made an appearance in the episode Whiscash and Ash where Ash didn't actually use it. The other appearances in Beauty and the Beach, A Hot Water Battle, and The Song of Jigglypuff were not Master Balls, but a Beach Ball owned by Misty colored to look like one and on a bill board in Neon Town.