Australia's Steve Smith scored his second hundred of his comeback Test against England in the Ashes opener at Edgbaston on Sunday before he was eventually dismissed for 142.

Smith, 98 not out at lunch on the fourth day, cover-drove fast bowler Stuart Broad for a boundary early in the second session to complete a 147-ball century with his 10th four.

It followed his 144 in the first innings of what is the former Australia captain's first Test since the end of a 12-month ban for his role in last year's ball-tampering scandal in South Africa.

Smith is now just the fifth Australia batsman to have made hundreds in both innings of an Ashes Test following Warren Bardsley (1909), Arthur Morris (1946/47), Steve Waugh (1997) and Matthew Hayden (2002/03).

He celebrated by removing his batting helmet and waving his bat joyously towards the Australia changing room.

And while there was applause from a packed crowd, there were also renewed chants of “Crying on the telly, we saw you crying on the telly” in a reference to the emotional press conference Smith gave in Sydney after he was sent home from South Africa.

He was eventually out when he edged a drive off paceman Chris Woakes, bowling on his Warwickshire home ground, to wicketkeeper Jonny Bairstow.

Australia were then 331-5 — a lead of 241 runs.

It was the first time Smith had scored hundreds in both innings of a Test match, with the 30-year-old only the second player to achieve the feat in a Test at Birmingham's Edgbaston ground after England's Marcus Trescothick (105 and 107 against the West Indies in 2004).

Smith, since the Oval in 2015, has scored more than 1,000 runs in 10 Ashes innings.

“When he goes out to bat, it's almost like he's in a trance-like state,” former Australia captain Waugh told Channel Nine.

“He knows exactly what he's trying to do, exactly what the opposition are trying to do... he analyses every ball and it's like a computer, he spits out the answer,” added Waugh, now a mentor to the Australia squad.

The match at Edgbaston has also seen the return to Test cricket of Australia's David Warner and Cameron Bancroft who, like Smith, both received lengthy bans for their parts in the ball-tampering incident that took place during a Test against South Africa in Cape Town.

When Smith, long one of the world's leading batsmen, completed his latest century — his 25th in 65 Tests — Australia were 236-4 in their second innings.

Only three times have a side made more than 150 in the fourth innings to win a Test at Edgbaston, with the highest such total South Africa's 283-5 in a five-wicket win 11 years ago — the last time England lost at the ground.

Ashes-holders Australia are looking to win their first Test series away to England since 2001.