It was more of the same after the break with Spurs swarming forward and the hosts looking to catch them out with a swift counter-attack.
Son has been on fire in the Premier League and nearly continued his hot streak with a low shot that could not quite curl enough to find its way inside the far post.
And Tottenham were feeling Kane’s absence until he finally broke the deadlock in the 71st minute.
And as CSKA pressed desperately for an equaliser, the visitors kept their nerve which to see out what could amount to a precious away win.
CSKA (4-2-3-1): Akinfeev; Fernades, V. Berezutski, Ignashevich, Schennikov; Golovin, Wernbloom; Tosic, Eremenko, Milanov; Traore. Subs: Chepchugov, A. Berezutski, Nababkin, Strandberg, Natcho, Gordyushenko.
TOTTENHAM (4-3-2-1): Lloris; Trippier, Alderweireld, Vertonghen, Davies; Eriksen, Wanyama, Alli; Lamela, Son; Janssen. Subs: Vorm, Walker, N’Koudou, Onomah, Wimmer, Winks, Carter-Vickers.
Referee: Antonio Mateu Lahoz (Spain).