The BBC was unable to verify the claims made by either side.
Quds Today is affiliated with the PIJ group, which was involved in the Hamas-led attack on Israel on October 7, 2023. The unprecedented attack sparked the war in Gaza.
In addition, five people were reported killed in Israeli strikes on Gaza City on Wednesday.
The Palestinian news agency Wafa and the health ministry of Hamas-run Gaza also reported that another 20 people were wounded in the vicinity of the town of Ezzeytoun.
The Israeli military did not comment on the report of the explosion.
Also Wednesday, Hamas and Israel blamed each other for delays in a last-ditch effort to reach a truce.
Hamas has accused the Israeli government of imposing “new conditions” that it says have delayed the deal.
Meanwhile, Israeli Prime Minister Benjamin Netanyahu said the group was reneging on already reached agreements on a possible ceasefire.
The latest statements mark a marked change in tone from both sides.
Netanyahu’s office said on Tuesday that Israeli representatives had returned from Qatar, the mediator, after “significant talks” – and Palestinian negotiators earlier told the BBC that talks were 90% complete, except for a few issues.
The Israeli military launched airstrikes and a ground offensive in the Gaza Strip in response to last year’s attack by Hamas. About 1,200 people were killed in the attack and another 251 were taken back to Gaza as hostages.
More than 45,000 Palestinians have been killed in the Israeli offensive, according to the Gaza Ministry of Health. According to the UN, almost two million people – 90% of the population – were forced to relocate.
Additional reporting by Yaroslav Lukiv.