After Adelaide, Australia's four-match series against India moves to Perth Stadium - for the venue's maiden Test - before Melbourne and Sydney host the traditional Boxing Day and New Year Test matches.
Australia have played four pink-ball Tests and won all of them, including the historic first game against New Zealand in Adelaide in 2015.
CA wanted the opening Test at Adelaide from December 6-10 to be a pink ball Test match.
"Whilst we appreciate some Adelaide fans may be disappointed, we know how popular the Adelaide Test is and look forward to hosting India there in December", the spokesperson said.
"It will be Australia's first home Test of the season - against the world No.1-ranked Test side India - and there will be enormous interest both here and overseas", he said.
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The Day/Night Test has been part of Cricket Australia's home summer calendar lately and it was pushing to have two, instead of one last season, with Sri Lanka likely to feature in Brisbane Test soon after series against India.
Earlier this month, BCCI administrator Vinod Rai told AFP that the Indian team would not be taking part in the proposed day-night test match at the end of this year.
But India, who are the world's top-ranked team, said they didn't want to play their first day-night Test during such a high-profile series.
He further stated, "We have been saying this all along that we are experimenting with pink ball cricket in the Duleep Trophy (India's domestic competition) and that's it for now". South Africa was initially reluctant to play their day-night match in 2016 sighting an extra advantage for the home team.
Australia have long championed the day-night Test concept and at a time when it is proving profitable and other nations are slowly joining the party, the BCCI have put the clamps on.
In contrast, Sri Lanka happily agreed to play the Aussies in a day-night Test at the Gabba later in January.