The meeting was scheduled two weeks ago, said the official, before Trump caused an international uproar with incendiary comments about Muslims. The official, who spoke on condition of anonymity because he was not authorized to brief reporters, said the Trump-Netanyahu meeting is set for December 28.
The official added that Netanyahu does not agree with every comment made by every candidate he meets, without elaborating.
Members of Israel's opposition condemned the visit.
Israel Radio reported that Arab parliamentarian Issawi Frej of the dovish Meretz party has asked the interior minister not to let Trump in the country.
"Imagine that a country or a candidate would say entrance to Jews is forbidden, the whole world would stand up in protest, saying this is a racist anti-Semite. A racist like this has no place here among us," Frej told the station.