Justin Rose, playing with Schauffele, and Horschel both birdied the last to finish at seven-under.
Lawrence finished in fourth at six-under.
“I feel very honoured. Hearing your name called with “Open Champion” right after is something I’ve dreamt of for a very long time,” Schauffele said after being present the Claret Jug.
“It’s an honour. I’ve always dreamt of doing it. That walk up 18 truly is the coolest with the yellow leaderboards and the fans and the standing ovation. It really is one of the coolest feelings I’ve ever had in my life. I got chills walking down and quickly had to zap myself back into focus because the tournament wasn’t over yet.
“I can’t wait to enjoy this with my family,” he added.
New Zealand’s Daniel Hillier carded a final round one-over 72 to finish in a share of 19th at three-over, to earn $307,000. Fellow Kiwi Ryan Fox had one of the rounds of the day with a four-under 67 which included six birdies and two bogeys to finish at five-over, up 45 places to finish t-25th, earning around $228,000.
“I hit a lot of really quality shots, so it was nice to sign the week off on that,” Fox said.
“I’ve got a few days off now before the Olympics. I’ve played a lot of golf this year. This is four in a row, and I think I played an eight in a row and a six in a row in there, as well.
“It’s certainly nice to finish this week on a good note and take a little bit of form into the Olympics.”
After his celebrations with the Claret Jug, Schauffele will begin preparations of his defence at the Olympic tournament Le Golf National after winning gold in Tokyo.
The Open Championship leaderboard
1 Xander Schauffele -9
2 Justin Rose -7
T3 Thriston Lawrence -6
T3 Billy Horschel - 6
5 Russell Henley -5
6 Shane Lowry -4
T7 Jon Rahm -1
T7 Sunjae Im -1
T7 Scottie Scheffler -1
Also
T19 Daniel Hillier +3
T25 Ryan Fox +5