The revelations centre on t-shirt designs made for soldiers that make light of shooting pregnant Palestinian mothers and children and include images of dead babies and destroyed mosques.
The t-shirts were printed for Israeli soldiers at the end of periods of deployment or training courses and were discovered by Israeli newspaper Haaretz.
One, printed for a platoon of Israeli snipers depicts an armed Palestinian pregnant women caught in the crosshairs of a rifle, with the disturbing caption in English: "1 shot 2 kills".
Another depicts a child carrying a gun also in the centre of a target.
"The smaller, the harder," read the words on the t-shirt.
According to a soldier interviewed by the newspaper, the message has a double meaning: "It's a kid, so you've got a little more of a problem, morally and also the target is smaller."