Wayne Rooney and Patrice Evra put the visiting side in the lead twice, but it was all for nought as Cardiff made a resurgent comeback to deny the Red Devil’s the full three points.
Fraizer Campbell slipped one past United’s defences in the 33rd minute to give Cardiff a fighting chance and Bo-Kyung headed a painful stoppage time equaliser from a Whittingham free kick to put the score at 2-2.
Manager David Moyes laments the all-too familiar set-piece failings which allowed Cardiff the opportunity to grab a point in the Welsh capital.
"I’m disappointed," he said. "It’s similar to Southampton (a 1-1 draw at Old Trafford last month) where we had the game in our control with a minute to go and conceded from a set-piece. It's cost us, ultimately.
"I thought we could have played better. We didn’t have a lot of rhythm in the second half but this has been a tough place to come for teams.
"We’re on the back of international duty so I probably would have taken the result however it came today but I'd have liked it [the performance] to have been better, more fluent and it wasn’t to be."
Their inability to grab three points at the Cardiff City Stadium means that Manchester United remain sixth in the Premier League table.
United has seen an improvement of late this season, winning five of their last seven games, and drawing the rest. The new unbeaten run gives Moyes hope of challenging the current league leaders, as long as they keep consistent for the rest of the season.
"We've been on a pretty good run but that’s a blow because we can't keep dropping points, two points in games when you’re where we are," he added.
"We should have won it. I know we can play better but we should have won the game."