Second half goals from Fernando Llorente, who scored twice, and David Silva were enough to trump a Lithuanian reply from Darvydas Sernas, who briefly got the guests level.
La Roja struggled to find top gear for the first period, but ultimately their class told.
“They are three points were very important to us,” Del Bosque explained to TVE at the game’s conclusion. “We combined well, but maybe lacked a bit of efficiency in the first period. But we deserve the victory. It was what we wanted six points from two matches; we did not want a surprise.”
The Spaniards now head for Scotland on Tuesday, where they will aim to maintain their remarkable record of successive wins in qualifying matches. Since drawing 1-1 in Iceland in September 2007, Spain have won every qualifying match they’ve played, and in addition they are unbeaten in qualifying play since a defeat by Sweden in October 2006.