Kane was happy afterwards declaring : “We made it tough for them, Hugo pulled off some unbelievable saves and a point at the Bernabeu - you would take that every day of the week.
“It shows you how far we’ve come as a team and it puts us in a great position in the group.”
Lloris was also happy with a point.
He said: “It’s a pleasure to share with my team-mates. To play here in the Bernabeu was a fantastic feeling. I think we were better in the first half.”
Spurs took a surprise lead at the Santiago Bernabeu through Raphael Varane’s own goal, only for Cristiano Ronaldo to level from the penalty spot after Serge Aurier had fouled Toni Kroos.
From there, however, Mauricio Pochettino’s men had Lloris to thank as the goalkeeper denied Karim Benzema from four yards with his legs, when the striker looked certain to score.
Kane could have even have won it for Tottenham late on when his finish was pushed wide by Keylor Navas but the visitors will be delighted with what could prove an invaluable point in Champions League Group H.
This fixture was billed the battle of Kane against Cristiano Ronaldo and Madrid’s main man might claim to have made the more telling contribution but, in truth, neither were at their thrilling best.
Instead it was Lloris, and the misfiring Benzema, that combined to strengthen Spurs’ position in the group. Borussia Dortmund’s draw away to Apoel Nicosia puts both of these sides six points clear at the halfway stage.
Not even five minutes had passed and Ronaldo had hit the post. Jan Vertonghen thought he was letting the cross run out of play but Isco was waiting to pull back to the Portuguese, whose header came back off the woodwork.
With Lloris committed, Benzema should have slotted home the rebound but, much to Ronaldo’s disgust, the Frenchman side-footed wide.
Kane had his first sight at goal when he headed Christian Eriksen’s corner straight at Navas while Llorente had a strong claim for a penalty when he nicked the ball off the Madrid keeper, only to be clattered by Casemiro.
Spurs had seen they could get at Madrid and in the 28th minute they took the lead. Aurier whipped a cross into the front post, where Kane attempted to flick the ball behind his legs towards goal. The striker failed to connect but marking tightly was Varane and he was unable to prevent it deflecting off his leg and into the net.
Madrid, however, hit back, with Isco drawing a smart save from Lloris and Marcelo driving into the side-netting from the angle.
It looked like Tottenham might make it to half-time but, two minutes short, they caved. Aurier gave away possession trying to overplay on the right, and then brought down Kroos in the area with a diving tackle. Ronaldo made no mistake.
Madrid were bouncing again and could have scored twice early in the second period were it not for the brilliance of Lloris.
First, Casemiro dug out a cross from the right and Benzema, four yards out with the goal at his mercy, somehow headed against his diving compatriot’s leg.
Then soon after Harry Winks over-ran the ball in midfield, Casemiro fed Ronaldo and, as the forward unleashed a stinging shot, Lloris instinctively jumped to push it over the bar.
The game was still in the balance with 20 minutes left, and Kane had a big chance to tip it in Tottenham’s favour. Llorente slid him in one-on-one but Kane’s attempt to guide the ball inside the far post was denied by the fingertips of Navas.
Eriksen forced another save from the Costa Rican and Danny Rose came on for Llorente in the last 10 minutes - his first appearance since January 31.
Madrid pushed for the winner but there was to be no late drama. It was the away fans cheering at the final whistle.
Navas, Hakimi Sergio Ramos, Varane, Marcelo, Kroos, Casemiro, Modric, Isco (Lucas 87), Benzema (Asensio 76),Ronaldo.
Lloris, Aurier, Alderweireld, Vertonghen, Sanchez, Dier, Winks, Sissoko (Son 89), Llorente (Rose 80), Eriksen, Kane.
Szymon Marciniak (Poland).