Kuhn late show keeps Celtic perfect in Scotland
Brendan Rodgers' side, which was hammered 7-1 by Borussia Dortmund in the UEFA Champions League last week, struck twice in the final quarter of an hour at Global Energy Stadium, where Ronan Hale's first-half penalty had given the hosts the lead.
Hale drilled home from 12 yards at the second attempt after his initial spot-kick was denied by Kasper Schmeichel, who was penalised for creeping off his line.
It was the first league goal Celtic had conceded this season, but the Hoops turned things around late on.
The full-back then turned provider two minutes from normal time as he found Kuhn, who stepped inside before slotting past Ross Laidlaw via a slight deflection.
The Hoops have now scored five goals in the last 15 minutes of their seven matches this season, more than any other side in the Scottish Premiership.