The draw means the Canaries have now gone five home games without a win after failing to build on a headed goal just before the hour mark from skipper Russell Martin.
Leeds were back on level terms inside four minutes thanks to a well taken effort from Doukara – and the visitors then put up the barricades to ensure they went home with a hard earned point.
Both sides went into the game with an indifferent run of results behind them and it showed in the early stages, with goalmouth action in short supply.
But the Canaries gradually began to get a foothold in the game and almost took the lead after 14 minutes when Cameron Jerome just failed to get the required touch on an excellent cross from Josh Murphy, who was making his first league start.
From then on City totally dominated the half, with Leeds struggling to get past the halfway line.
Their only break came midway through when referee Mark Clattenburg halted the game after complaints from Jerome, who appeared to be upset by something said by Leeds defender Giuseppe Bellusci. After talking with both managers the official let the Italian off with a warning although he was swiftly brandishing a yellow card at Jerome when he clattered into the Leeds man.
When play resumed, Kyle Lafferty was just wide with a snap shot, while Nathan Redmond brought a good save out of Marco Silvestri – but Norwich ended up drawing a blank in the first half for the ninth game in succession.
They quickly resumed the attack after the break and finally got the goal they deserved after 59 minutes when Redmond’s corner was headed home by Martin.
Having defended so well it was a real sucker punch for Leeds – but they were back on level after 63 minutes after making full use of virtually their first incisive attack of the game.
It ended with Adryan slipping the ball through to Doukara who moved into the area before beating John Ruddy with low shot into the bottom corner.
The goal game out of the blue and gave Leeds renewed vigour at the back and they defended superbly for the rest of the game to keep Norwich at bay.