The evening had started well after Luuk de Jong's header put the home side in front, but goals from Cristian, Raul Meireles and Dirk Kuyt gave the guests a comprehensive win, with Igor de Camargo's second-half strike a mere consolation.
Gladbach were in need of a victory having only drawn away at AEL Limassol on Matchday 1, and Lucien Favre's men went about their task in admirable fashion. Pressing their opponents from the off, they took control of the game and soon had a deserved lead when de Jong bravely met Havard Nordveit's right-wing cross to head his team in front.
The goal not only calmed Gladbach, it also boosted the partisan home crowd and so it was something of a shock when Fenerbahce pulled themselves level. Alexander Ring brought down Raul Meireles and Brazilian midfielder Cristian stepped up to curl a superb free-kick past German international Marc Andre ter Stegen.
ter Stegen unsighted
Things then got worse for the hosts as they fell behind five minutes before the break. Again ter Stegen was beaten from distance, as Meireles' fierce drive flew through a crowded penalty box and nestled in the bottom corner.
There was still belief amongst the home players, however, and they came within inches of equalising just before the hour-mark. Demirel Volkan produced a superb stop to deny Gladbach's Juan Arango, before then deflecting de Camargo's effort to safety. It was the break that Fenerbahce needed and, after threatening a third, they struck again when Dutch forward Dirk Kuyt side-footed in Caner Erkin's volleyed cross.
Camargo strike not enough
At 3-1 down, Gladbach looked to have the stuffing knocked out of them, but they hauled themselves back into the contest admirably when de Camargo made it 3-2 with just over 15 minutes remaining.
There seemed time enough to record what would have been a deserved equaliser, but they were kept at arm's length by a mature Fenerbahce midfield. In truth, the next goal looked likely to come from the away side, and so it proved as Cristian tapped in for his second to wrap up the win.
ter Stegen - Marx, Stranzl, Brouwers, Daems - Nordtveit, Cigerci (de Camargo, 61') - Ring (Hrgota, 46'), G. Xhaka, Arango - L. de Jong
Volkan Demirel - Gökhan Gönül, Bekir Irtegün, Egemen Korkmaz, Hasan Ali Kaldirim - Raul Meireles, Topal - Kuyt, Cristian, Caner Erkin, Sow (Krasic, 78')
Goals: 1-0 (de Jong, 18' ), 1-1 (Cristian, 25') , 1-2 (Raul Meiereles, 40'), 1-3 (Kuyt, 71'), 2-3 (De Camargo 74'), 2-4 (Cristian 87')