Pro 12 highlights: Ospreys' controversial defeat to Connacht
Connacht made it five wins in a row in all competitions by beating the Ospreys in Galway in a contest not without controversy.
Bundee Aki and AJ MacGinty scored early tries for the hosts, with the league's leading scorer Matt Healy adding a third touchdown after the interval.
Ben John and Dan Baker crossed for the visitors before the break, while Rhys Webb added his side's third try.
The Ospreys were going for a fourth straight win in the competition and forwards coach Chris Gibbes bemoaned the failure to award them a try when Sam Davies thought he had levelled the scores at 27-27.