Britain, set what might have been another fourth-innings record of 509 for triumph, caved in to 103 full scale after tea on the fourth day.
Left-arm quick bowler Johnson took three for 27 as Britain were released in a unimportant 37 overs.
It was just the ninth time in the 138-year history of Test cricket a side had won by more than 400 runs.
Australia's quick bowlers are obviously faster than their Britain partners and sheer pace was in charge of a few wickets as the home side endured the most recent in a long line of top-request droops.
After Australia proclaimed their second innings on 254 for two, it implied Britain needed to best the most astounding fourth innings aggregate to win a Test - the West Indies' 418 for seven against Australia at St John's in 2002/03 - if they somehow managed to go 2-0 up.
The more reasonable if still troublesome errand for Britain, 1-0 ahead in the five-match arrangement after their 169-run win in the first Test in Cardiff, was to bat out the staying 155 overs left in the match to secure a draw.
Just eight sides, be that as it may, have made due for more than what might as well be called 150 six-ball overs to draw a Test match. However, simply seeing out Sunday's play demonstrated a long ways past Britain.
Opener Adam Lyth, out for a duck in the first innings, could just deal with seven on Sunday before pushing at a lifting ball from Mitchell Starc he was gotten behind by debutant wicket-manager Dwindle Nevill.
Britain skipper Alastair Cook, who batted for about six hours in making 96 amid the first innings, positively had the demeanor needed for the dubious circumstance.
Be that as it may, his method abandoned him when he attempted to cut Johnson's fourth bundle of the innings without moving his feet and was gotten behind for 11.
Desperate straits
Mitchell Bog, who substituted the dropped Shane Watson for this match, struck first ball Sunday when he had the battling Gary Ballance got behind.
Ian Chime could have been out twice some time recently, on 11, he gave a bat cushion catch to substitute Shaun Swamp at short leg off spinner Nathan Lyon.
Britain were currently in critical straits at 48 for four.
The exact opposite thing Britain required Sunday was a run out yet that is the thing that they got when Ben Stirs, who made 87 in the first innings, neglected to beat Johnson's effective toss from mid-wicket.
Britain, 64 for five at tea, lost their 6th wicket to the first ball after the break when Jos Buttler was gotten behind off Johnson.
Four balls later they were 64 for seven when Moeen Ali succumbed to a duck when he fought a lifting Johnson ball to short leg.
Stuart Wide hit out in an innings top score of 25 preceding tumbling to Lyon and the match finished when paceman Josh Hazlewood tore through James Anderson's protection to bowl Britain's last man for a duck.
Prior, Australia took their overnight 108 without misfortune to 254 for two preceding chief Michael Clarke announced in a matter of seconds before lunch.
The main sympathy toward Australia was when opener Chris Rogers, who made a Test-best 173 in the first innings, resigned hurt after a mixed up spell only two overs into the day's play.
Notwithstanding, he was later seen watching the match from Australia's changing area overhang.
Steven Smith was named man-of-the-match for his Test-best 215 in Australia's first innings 566 for eight pronounced.