Hart put in another poor performance against Bayern Munich in the Champions League on 25 November 2014, although City came back to win 3–2.
As he had been in 2014, Hart was on the bench for the 2016 League Cup Final; this time, his understudy Willy Caballero featured in a penalty shoot-out victory against Liverpool. On 6 April, Hart saved a penalty kick from Zlatan Ibrahimović in Manchester City's Champions League quarter-final first leg against Paris Saint-Germain at the Parc des Princes. It was his second penalty save of the season's competition, after previously keeping out Raffael's kick in a 2–1 group stage win at Borussia Mönchengladbach on 30 September 2015.
Hart made another mistake in a 2014 World Cup qualifying game against Poland on 17 October 2012, failing to punch clear a corner which led to a crucial Polish equaliser that deprived England of a win. The mistake followed pundit Roy Keane's claim Hart was "cocky" and that he needed sterner competition. In England's next match against Sweden, Hart put on an uncertain performance, letting in a saveable long-range free kick and then a 30-yard bicycle kick from Zlatan Ibrahimović following a poor headed clearance. Earlier in the match a communication breakdown between Hart and defender Gary Cahill had presented Sweden with a clear opportunity to make it 2–0, and manager Hodgson said that it was "not one of Joe's best nights".
Hart was selected for his second FIFA World Cup in 2014. He made his tournament debut in England's first group match, a 2–1 defeat to Italy in Manaus, and also played in the next match, a loss by the same scoreline to Uruguay. With England not likely to advance, Hodgson made changes for their last match, against Costa Rica, with Ben Foster playing in goal instead. In what turned out to be Hart's only World Cup tournament as first-choice keeper, England went out in the group stages.
In October 2014, England fans voted Hart man of the match against San Marino – in which he made only one save and rarely touched the ball – and repeated the exercise a few days later against Estonia; Jack Wilshere was the official best player in each fixture. Hart became the sixth English goalkeeper to earn his 50th cap, in a 1–1 friendly draw with Italy at Juventus Stadium on 31 March 2015. On 13 November that year, with Rooney rested, he captained England for the first time in a 2–0 friendly defeat to Spain in Alicante. A poor kicked clearance from Hart late in the match led to Spain's second goal from Santi Cazorla.