"No injuries to soldiers were reported," it said in a statement.
Palestinian security sources in Hamas-ruled Gaza told AFP that the Israeli fire hit Hamas military observation posts at three locations along the frontier.
Palestine in 2019
They said there were no reports of Palestinian casualties.
Palestinians in Gaza have for more than a year gathered at least weekly along the border for often-violent protests, calling on Israel to end its blockade of the enclave.
The Israeli statement did not say if there were mass protests taking place at the time of Friday's incident.
The Palestinian health ministry in Gaza later said in a statement that 15 people were wounded by Israeli fire during border demonstrations, including "two paramedics and one journalist".
Israel, Syria to reopen Golan crossing on Monday: US envoy to UN
It gave no further information.
At least 264 Palestinians in Gaza have been killed by Israeli forces since the protests began.
The majority were killed during clashes, with others hit by tank fire or air strikes.
Two Israeli soldiers have been killed over the same period.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ