"The military facilities were used as training and weapons storage compounds", the statement said.
Wednesday was the sixth day in a row in which rocket attacks were fired by Gaza terrorists at southern Israel.
However, after every attack, Israel strikes posts in Gaza.
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Tensions along Israel's border with the Gaza have been high as of late, after US President Donald Trump announced that the United States recognized Jerusalem as Israel's capital and would move its embassy there.
"Tonight, in response to the rockets fired at Israel, the IDF targeted 3 Hamas terror facilities across Gaza using IAF [Israeli Air Force] platforms".
The Hamas spokespeople repeatedly attempted to paint Trump's decision to recognize Jerusalem as the capital of Israel as a declaration of war against the Palestinians and all Muslims.
The recent rocket fire has not caused any casualties in Israel. Last week, two Palestinians were killed in an Israeli strike.
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But faced with worldwide condemnation they struggled to govern effectively, Ahmed Youssef, a former Hamas official, told Al Jazeera.
Israel also arrested a number of senior Hamas members in the occupied West Bank overnight, including one of its leaders in the territory. Two Palestinians were shot dead by Israeli troops in these protests along the security fence, after the IDF says they repeatedly refused to heed calls and warnings to keep away from the barrier.
Hamas's anniversary came at a hard time in its turbulent history.
An Egyptian-brokered reconciliation deal between the two groups in October has seen Hamas give up control of Gaza's crossings, but differences over collecting revenues hinder its progress.
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The coastal territory suffers from 43 per cent unemployment and worsening blackouts.