The Spanish star was too hot to handle for the Tigers defence throughout as Rafa Benitez's men inflicted a fourth successive defeat on the visiting Tigers.
Steven Gerrard, Ryan Babel and Albert Riera also got in on the act as Liverpool took advantage of Hull's woeful defending.
Torres, who scored two goals in the 3-2 win at West Ham United last weekend, took just 12 minutes to open his account.
Winger Riera crossed from the left and Torres was left in acres of space to control the ball and slam a shot beyond the reach of Boaz Myhill.
But with the Liverpool fans expecting an avalanche of goals they were stunned three minutes later when Geovanni equalised.
Martin Skrtel failed to head clear Paul McShane's cross and the Tigers striker, who penned a new two-year deal this week, scuffed a shot beyond the reach of Jose Reina.
Lucas Leiva almost restored the lead soon afterwards only to see his shot saved by Myhill before Jan Vennegor of Hesselink blocked a Skrtel shot.
But Torres had his second in the 28th minute when he latched onto Yossi Benayoun's pass before dancing past Ibrahima Sonko and poking the ball past Myhill.
Liverpool were comfortable until the break and had the win sewn up just two minutes after the restart.
Benayoun found the Spaniard who skipped past Sonko again before firing through the legs of McShane and past Myhill for his eighth goal of the season.
Torres almost added a fourth when he headed over a Skrtel cross before Gerrard got in on the act in the 61st minute.
But only the Liverpool captain will know if he meant to score as his cross-shot flew over Myhill and crashed in off the bar.
It was five two minutes from time when Dirk Kuyt raced down the right before crossing for Babel to hammer home from close range. And there was still time for Kuyt to create more chaos when his cross was fired in, with the aid of a huge deflection, by Riera.