Munro represented New Zealand in the Under-19 Cricket World Cup held in Sri Lanka in 2006.

In January 2017, Munro signed for the Sydney Sixers in the Big Bash League and made his debut in front of 39,756 at the SCG against the Thunder.

[4] In June 2019, he was selected to play for the Brampton Wolves franchise team in the 2019 Global T20 Canada tournament.

[15] He was part of Perth Scorchers for the 2021–22 Big Bash League season but on 9 January 2022, he was tested positive for COVID-19.

In 2016, after becoming the top scorer in the domestic T20 competition, where he bats at no.3, there were hopes for him to cement that spot before the ICC World T20, given Brendon McCullum's international retirement before the tournament.

This is also the fastest fifty by a New Zealander in this format, beating the previous record set by Martin Guptill (50 from 19 balls) just 20 minutes before.

[26] During the series against West Indies, Munro moved up to open in the limited overs formats.

[27][28] With this feat, he became the no.1 T20I batsman in the world, while Ish Sodhi claimed the no.1 T20I bowler ranking at the same time, making them the first Black Caps pair to top the respective lists since Brendon McCullum and Daniel Vettori in 2008 and 2009.

[31] In March 2019, he was named as the ANZ International Men's T20 Player of the Year at the annual New Zealand Cricket awards.