Fowler and Johnson each fired 4-under 68 in the second round – after both shooting 72 in Round 1. They are currently eight shots off the pace set by three-time Abu Dhabi champion Martin Kaymer.
"I made some dumb mistakes [yesterday]," Fowler said. "Came out today and played a lot better."
Fowler had five birdies and dropped one shot. Johnson had four birdies and no bogeys.
Fowler is the defending champion of this event. The only person to successfully defend his title in the event’s 11-year history is Kaymer, in 2010-11.