Micheal Mac Donncha participated in an Islamic conference about Jerusalem in Ramallah organised by the religious affairs adviser to Palestinian President Mahmoud Abbas.
The ministry said in a statement that Israel expresses its "deep disappointment and shock" over the incident.
Ireland's ambassador to Israel, Alison Kelly, was then called before the Foreign Ministry to explain the Lord Mayor's actions.
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The least expensive gas price averages in Tennessee were in Memphis at $2.40, Knoxville at $2.43 and Chattanooga at $2.44. Sunday's average was a half-cent more than last week, 13 cents more than a month ago and 28 cents more than past year .
Dublin City Council passed two resolutions endorsing the BDS movement on Monday.
A short while later Mr Mac Donncha announced that he was already in the Palestinian city of Ramallah, where he had been invited to attend a conference on the disputed status of Jerusalem.
It added that the Jewish state "expects a public and official Irish response to the conduct of the council of its capital city and particularly its head, who are conducting a campaign of discrimination and hatred against the state of Israel".
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At its peak, the walkout had more than 500,000 students out of school - about two-thirds of the state's student population. By Thursday, 70% of respondents indicated they were unsure of continuing the walkout, she said.
Israel's Interior Ministry later admitted that the mayor had entered Israel "due to a typo".
Lord Mayor Mícheál Mac Donncha also hit out - saying it was disgraceful that some people had been stopped from entering the country to attend the conference in Palestine by Israeli officials.
Israel and Palestine are locked in a decades-long dispute over borders and sovereignty. Mac Donncha says he knows of no ban on him.
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We are not publishing Plush's 911 calls due to their graphic, disturbing nature and out of respect to his family. Kyle Plush, a student of the Seven Hills School, begged for help while the dispatcher struggled to locate him.