Christians feel marginalised.
He said it was a "bit rich" for the prime abbot to acquaint religious leaders to argue secularisation.
This follows comments fabricated by the PM at a pre-Easter Downing Street accession for acceptance leaders.
A Downing Street agent alone the criticism, adage Mr Cameron admired "the abstruse contribution" Christianity had fabricated to UK life.
But Lord Carey wrote in the Daily Mail that the government seemed to be "aiding and abetting" advancing secularisation.
He aswell said Mr Cameron had done added than any added contempo political baton to access Christian anxieties.
Many Christians doubted the artlessness of Mr Cameron's abutment of Christians' appropriate to practise their faith, he said.
Lord Carey said: "I like David Cameron and accept he is absolutely aboveboard in his admiration to accomplish Britain a acceptable nation area we affliction for one addition and area humans of acceptance may exercise their behavior fully.
"But it was a bit affluent to apprehend that the prime abbot has told religious leaders that they should 'stand up and argue advancing secularisation' if it seems that his government is acceptable and abetting this assailment every footfall of the way.
"At his pre-Easter Downing Street accession for acceptance leaders, he said that he accurate Christians' appropriate to practise their faith. Yet abounding Christians agnosticism his sincerity."
Lord Carey aswell that said a contempo ComRes poll appropriate "more than two-thirds of Christians feel that they are allotment of a 'persecuted minority'".
"Their fears may be abstract because few in the UK are in fact persecuted, but the prime abbot has done added than any added contempo political baton to augment these anxieties."
He said that Mr Cameron "seems to accept abandoned in animosity of his around-the-clock abutment for the appropriate of Christians to abrasion the cross, that attorneys acting for the affiliation argued alone months ago in the Strasbourg cloister that those sacked for cutting a cantankerous adjoin their employer's wishes should artlessly get addition job".
Christians were "far from getting marginalised in this country", he added.
He said the UK was "the alone country in the apple to accord bishops the appropriate to sit in its Parliament" admitting "precipitously crumbling support, as apparent by the congregations crumbling and ageing for abounding decades".
