The Australia skipper stonewalled the English bowling attack to remain unconquered on 102 for his third century of the series when the Test was called a draw late on the final day.
Smith joined the legendary Don Bradman as the only batsmen to score centuries in four consecutive Melbourne Tests.
He also joined Ricky Ponting as the only batsmen in Test history to have made six centuries in a calendar year on multiple occasions.
The hosts have already clinched the Ashes with an unassailable 3-0 lead in the series ahead of the fifth and final Test in Sydney next week.
It was just the second drawn Boxing Day Test in 20 years, although there was criticism of the lifeless state of the Melbourne Cricket Ground drop-in pitch.
Smith and Marsh comfortably batted through after lunch to ensure England were unable to go for the win after leading by 164 runs on the first innings, following a record-breaking unbeaten 244 from opener Alastair Cook.
After two painstaking hours of minimal scoring, the tourists grabbed the wickets of Warner and Marsh to briefly raise hopes of grabbing their first win in an already-decided series.
Warner had looked set for his 22nd Test hundred and second century of the match before he attempted to slog the second ball of Joe Root's first over.
The ball, pitched into the foot marks, skewed into the air and James Vince took a comfortable catch in the covers to give Root the perfect present on his 27th birthday.
The normally adventurous opener played with great circumspection to keep England at bay, batting for 301 minutes and 227 balls in his slowest Test innings.
His dismissal also ended a 107-run stand with Smith, which helped Australia wipe out the innings deficit.
There was some rare excitement in the final over before lunch when Marsh edged Stuart Broad to wicketkeeper Jonny Bairstow, who took a splendid catch.
Cook was named man-of-the-match after carrying his bat in England's first innings.
The last Englishman to carry his bat through a Test innings was Mike Atherton with 94 against New Zealand in 1997.
Cook also surpassed the highest score by a visiting batsman in a Test match at the famous MCG, bettering the 208 by West Indian great Viv Richards in 1984.
There was a total attendance of 262,616 fans over the five days.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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