Roberto Soldado snatched a late winner as Spain avoided a shock draw in their opening qualifier in Georgia.
Soldado made no mistake from close range when set up by substitute Cesc Fabregas in the 86th minute to score the only goal of the game.
continued their 100% start to Group C with a 2-1 win in Austria, while
beat Malta 2-0.
Manchester United striker Robin van Persie
came off as a precaution
won 4-1 in Hungary.
Spain have now won their last 23 qualifiers for World Cup and European Championships, a run stretching back to a 1-1 draw in Iceland in September 2007
Van Persie was replaced at half-time but
still won confortably in Hungary thanks to a double from Jeremain Lens and goals from Bruno Martins Indi and Klaas Jan Huntelaar.
It looked like being a frustrating evening for Spain as they struggled to break down an ultra-defensive Georgia side in their opening match in Group I.
But Valencia striker Soldado's close-range finish made it 11 wins in 13 games for Spain in 2012.
Spain coach Vicente Del Bosque said: "I would like to congratulate Georgia for their extraordinary performance.
"They played with great enthusiasm and made it very difficult for us."
stay top of Group I after making it two wins out of two with a 3-1 win over Belarus.
Goals from Etienne Capoue and Christophe Jallet put France in control, and new Tottenham signing Hugo Lloris then saved a penalty from Belarus's Sergey Kornilenko - only to see Anton Putsila convert the rebound.
Franck Ribery then settled any nerves 10 minutes from time with the third.
Goals from Marco Reus and a Mesut Ozil penalty either side of half-time gave
the points in Austria, while Mattia Destro and Federico Peluso scored the goals in