Rose followed up his opening round 70 with a two-over 72 as he missed the cut for only the second time in 36 events.

World number three Johnson set a new course record with an eagle and seven birdies in his bogey-free 61.

South African Zander Lombard is tied for second with China's Li Haotong.

England's Chris Paisley is tied sixth on six under, five shots behind Johnson, with Ian Poulter a shot further back on five under.

Day one leader Thomas Pieters of Belgium had a day to forget as he followed up his 63 on Thursday with a four-over 74 on Friday to drop down to tied 18th.

"The mistakes I made were due to trying to chase the cut and that doesn't happen if I had putted a bit better the first day," said Rose.

"I actually played really nicely on day one. Today I felt not as good, but the mistakes were more because I was behind the eight-ball trying to get into the tournament."

Johnson, the 2016 US Open champion, said: "I was just trying to keep getting my score lower and lower.

"It was really good. Obviously you always have fun when you're playing well, but I did a lot of the same things I did yesterday. The greens rolled a little bit better today."

The Saudi International has attracted a top-class field despite scrutiny over the country's human rights record.