Michael Hendry (three-over, tied 70th) and Daniel Hillier (five-over, tied 96th) also need some work to do tomorrow to get in touch with the leaders and eye the cut. The top 70 and ties will make the 36-hole cut.
“It’s tough out there,” Fox told TalkSport after his round.
“It was pretty scrappy in places. I had a couple of really nice up-and-downs to keep it going, especially on the last two holes. When I did hit good shots, I didn’t really take my chances. I had a couple of nice birdie looks there and didn’t make them but two-over is certainly not out of the tournament.”
Hillier had two triple bogeys in his round with a six coming at the famous Postage Stamp par three eighth, but finished strong with three birdies in the final six holes.
Down the bottom of the leaderboard, Rory McIlroy, coming off a second at the US Open, opened with a seven-over 78. Former Open champions Cameron Smith and Tiger Woods are still on the course at seven-over.
Open Championship leaderboard
-6 Daniel Brown (F)
-5 Shane Lowry (F)
-3 Justin Thomas (F)
-2 Xander Schauffele (F)
-2 Alex Noren (F)
-2 Nicolai Hojgaard (F)
-2 Justin Rose (F)
-2 Russell Henley (F)
-2 Mackenzie Hughes (F)
Also
+2 Kazuma Kobori (F)
+2 Ryan Fox (F)
+3 Michael Hendry (F)
+5 Daniel Hillier (F)