[citation needed] On 11 May 2014, it was announced that Bleyendaal will join Irish province Munster on a three-year contract starting from 1 November 2014.

[11] On 1 April 2017, Bleyendaal scored 21 points off the kicking tee in Munster's 41–16 Champions Cup quarter-final win against Toulouse.

[12] On 4 May 2017, it was announced that Bleyendaal had won the 2016–17 Munster Rugby Senior Player of the Year award, having been nominated by his teammates alongside John Ryan and Niall Scannell.

[15] On 17 February 2018, Bleyendaal made his return from a neck injury that had prevented him from playing since Munster's Champions Cup game against Castres in October 2017, doing so when he came off the bench to replace Ian Keatley against Cardiff Blues in the 2017–18 Pro14 and kicking a late penalty to earn his side a losing bonus-point.

[23] Bleyendaal was forced to retire from rugby with immediate effect in May 2020 due to a persistent neck injury, which was sustained while he was playing in New Zealand and recurred on multiple occasions during his time with Munster.