Spurs could have had more but Kane, Son and Dele Alli were thwarted as Cardiff put bodies on the line to prevent their goal difference from worsening.
Tottenham can now relax with a watching brief as third-placed Manchester City and Liverpool meet at the Etihad Stadium on Thursday night - a game where Pochettino says he will be in a "neutral position". The Bluebirds will go for their second straight win on Tuesday against Spurs.
Harry Kane opens the scoring
Before losing to Wolverhampton Wanderers last weekend, Tottenham had smashed in 11 goals in two games, but they will find it tough in Wales. What a mess from a Cardiff point of view.
Kane's goal came off his shin, deflecting in a loose ball from a awful touch from Cardiff captain Sean Morrison after Kieran Trippier's cross from the right initially hit the England captain.
12' - GOOOOOOAAAAALLLLL! Cardiff 0-2 Tottenham.
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They were arrested inside the residence where Perez Arriaga was apprehended. "Please remember the man", Richardson also said. Residents, friends, relatives and fellow officers held back tears as they eulogized Singh during the candlelight memorial.
It is not only opponents who Eriksen has been keeping guessing in recent months.
Spurs extended their lead when Kane was involved again - creating a move which featured Moussa Sissoko and Son and ended with Eriksen firing the ball home. Cardiff are being carved apart here all too easily.
But Spurs were quickly ahead from a move which Kane started and finished for his 18th goal of the season.
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The winger forced two saves from Hugo Lloris, first with a far post header which brought a diving stop and later with a cross that was tipped over.
Christian Eriksen has scored 19 goals from outside the box in the Premier League; the most of any player in the competition since his debut (September 2013).
Cardiff have lost their last 15 Premier League matches against the "big six" sides, conceding 47 goals across those matches, with 25 of those goals conceded coming in their six defeats this season.
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Felipe and his father were detained for a week after trying to cross the border illegally near El Paso on December 18. Nancy Pelosi, D-Calif., the incoming speaker, also called for a congressional investigation into the deaths.
While it will be relatively easy for Warnock to shrug off these losses to Champions League sides, he will hope that his players' confidence isn't affected when they are next at home, especially as they will be hosting relegation rivals Huddersfield.