Graham Rowntree refused to make excuses for his Munster side after they suffered a third defeat of the season against the Stormers.
The visitors' performance was riddled with mistakes, while the lineout woes, costly in last weekend's loss to Leinster, continued.
However, tries from Tom Farrell, Eoghan Clarke and Gavin Coombes had them within two points with five minutes to play.
From there, it was John Dobson's side, who started the round bottom of the URC table, who kicked on and ran out 34-19 victors.
"We just killed ourselves there," Rowntree told RTÉ Sport.
"I thought we were in that game at half-time, came out in the second half and our discipline was poor.
"They score a good try there, then we have our opportunities to nail them with our lineout, we couldn't do it.
"We start giving away penalties in the scrum, then we’re chasing the game.
"At key moments, it [the lineout] didn’t [work]. We’re shelling penalties in the scrum, 11 penalties we conceded and they all counted. It’s a hugely frustrated and down dressing room, for good reason.
"I thought we were in that and suddenly we weren’t."
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Munster had won their two home games but lost on the road to Zebre and Leinster.
They sit in 11th place in the standings on 11 points and take on the Sharks next weekend.
"I said to the lads in there, we’ve got to stick together now and be strong," added the former England prop, who led Munster to the 2023 title.
"We’ll own up to the stuff we’re not doing, but I’m not having us fall apart.
"We’ve a huge game next week now, but we’ve got to get better.
"I'm not going to sugarcoat anything with the lads, they know that."