An Israeli siren smartphone app warned that missiles were fired at Israel near the Gaza Strip, an incident that comes amid mounting tensions over Trump's decision to officially recognize Jerusalem as capital of Israel.
Shortly afterwards, the army fired a tank shell into a Palestinian land, in Juhr ed-Deek area, southeast of Gaza city.
The first two launches set off the alarm shortly after 6 p.m., in the Hof Ashkelon and Sha'ar Hanegev regions, northeast of the Gaza Strip.
The IDF added that they hold Hamas, which governs Gaza but is supposed to hand over control to the Palestinian Authority on Sunday, responsible for any rocket fire emanating from the Strip. Security sources said no rockets fell in Israeli territory.
"When it's going to an open field, we try not to scare the public", the spokesperson said.
Last week, the Islamic Jihad launched a dozen mortar shells at an army post northeast of the Strip, causing no injuries but some damage to army equipment.
Palestinians and security forces clashed earlier in the day along the Gaza border with reports of three Palestinians injured. The IDF confirmed the use of a tank and an IAF to strike Hamas targets in the Gaza Strip.
On Wednesday, Trump announced the relocation of the USA embassy in Israel from Tel Aviv to Jerusalem - a move which drew numerous negative reactions from Muslim communities around the world.