Mr Justice Tugendhat removed the order, which banned reports about married Terry's alleged affair with an England team-mate's ex-girlfriend.
Last week, Mr Justice Tugendhat had been asked to continue the privacy injunction.
BBC: Caroline Spelman's son 'took drugs after sports injury'
Conservative Lord Tugendhat questioned why the UK continued to give aid to India when it can afford its "own space programme".
In the High Court, Mr Justice Tugendhat had said Mr Ackroyd was a "responsible journalist" who was "acting in the public interest".
BBC: NEWS | UK | England | Manchester | New battle for Brady journalist
Giving his decision in the High Court on Friday, Mr Justice Tugendhat ruled that it was "not necessary or proportionate" to continue with it.
BBC: Caroline Spelman's son 'took drugs after sports injury'
Mr Justice Tugendhat ruled at the High Court that the women were making serious allegations - but the IPT had jurisdiction over their human rights claims.
Mr Justice Tugendhat said the retired solicitor had deliberately flouted the order and that his conduct was so serious that nothing less than a custodial sentence would suffice.
Mr Justice Tugendhat reserved judgement until an unspecified later date.
But McAlpine's lawyers had argued that it pointed a "finger of blame" during a media firestorm, and Judge Michael Tugendhat rejected Bercow's stance that the tweet merely posed a question.
Justice Tugendhat said he thought Terry's real concern was the effect on his sponsorship contracts, in which case, payment of damages would be an adequate remedy if he succeeded at trial.
Two built works of this period are landmarks of the modern movement -- the German Pavilion at the 1929 International Exposition in Barcelona, demolished in 1930 and rebuilt in 1986, and the 1930 Tugendhat house, which survives in Brno in the Czech Republic.
应用推荐