The competition holders are in ruthless form, however, winning all five of their La Liga fixtures so far to lead the table over rivals Barcelona.
Celtic were brushed aside 3-0 in Glasgow last week and now the Bundesliga side head to Spain look to make amends with a humbling 4-1 loss to Shakhtar Donetsk in their Group F opener.
Domenico Tedesco was sacked the next day and new manager Marco Rose made an immediate impact, beating former club Borussia Dortmund 3-0 just days later in his first game in charge.
Here’s all you need to know about watching tonight’s clash...
Where to watch Real Madrid vs RB Leipzig
TV channel: In the UK, tonight’s match will be televised live on BT Sport 5 with coverage beginning at 7.45pm BST ahead of an 8pm kick-off.
Live stream: BT Sport subscribers will also be able to watch the game online via the BT Sport website or app.