The £20m striker picked up a Yossi Benayoun pass and chipped it home as Liverpool recorded a 2-0 win in the Rotterdam tournament.
"Getting off the mark will give Torres confidence heading into the new season," said Reds boss Rafael Benitez.
"I was very pleased with Fernando, it was very important for him to score his first goal for Liverpool.
"When Peter Crouch first joined us, everyone was asking when he was going to score. Torres has now got that and that takes the pressure off.
"Both goals were really good and I was very pleased with the performance of my players."