Compton's performance in India was enough to maintain his place in England's Test squad for the tour to New Zealand in March 2013. Following a duck in the first innings of the first Test of the series Compton responded with his maiden Test century, scoring 117 as England drew the Test match. He proceeded to make a more fluent second century, scoring exactly 100, in the second Test match. Compton finished the drawn series as England's third highest run-scorer with 232 runs at an average of 46.40.