Munster were forced to reshuffle minuters before kick off when Mick Sherry failed to come through the warm-up with Sean Henry taking his place on the bench.
A penalty from Ronan O'Gara has Munster leading 3-0 with 23 minutes gone.
Munster: F Jones; D Howlett capt, K Earls, J Downey, S Zebo; R O'Gara, C Murray; D Kilcoyne, D Varley, BJ Botha; D O'Callaghan, D Ryan; P O'Mahony, T O'Donnell, J Coughlan. Replacements: M Sherry, W du Preez, J Ryan, B Holland, P Butler, D Williams, I Keatley, C Laulala.
Edinburgh Rugby: Greig Tonks; Dougie Fife, Ben Cairns, Matt Scott, Tim Visser; Greig Laidlaw capt, Richie Rees; Allan Jacobsen, Steven Lawrie, Willem Nel; Grant Gilchrist, Sean Cox; Stuart McInally, Dimitri Basilaia, David Denton. Replacements: Andy Titterrell, Robin Hislop, Geoff Cross, Netani Talei, Roddy Grant, Piers Francis, Ben Atiga, Sep Visser