Netanyahu, who had received the State Department map from Trump's son-in-law Jared Kushner as a gift, showed it off in a televised interview on Thursday night.
During the show-off, he told the viewers that the new map marked the occupied Golan Heights as part of Israel, and that Trump had written the word "nice" on it.
"Jared Kushner brought me the updated map that includes the Golan Heights within Israeli sovereignty -- here is the signature of President Trump and he writes here 'Nice,'" Netanyahu said.
On the map, a hand-drawn arrow in black ink points from the word "Nice" to the Golan. Running along the side of the map in the same black ink is the US president's spiky signature.
Back in April, Netanyahu announced he planned to name "a new community on the Golan Heights" after Trump in gratitude for his recognition of Israel's claim of "sovereignty" over the strategic plateau.
Damascus strongly condemned the move and called it a "blatant attack on the sovereignty and territorial integrity" of Syria.
The Arab League also denounced the decision, saying, "Trump's recognition does not change the area's status."
Many countries, including Iran, Russia and Turkey, along with the United Nations Security Council, have lambasted Trump's provocative move.
In 1967, Israel waged a full-scale war on Arab territories, during which it occupied a large swathe of Golan and annexed it in 1981, a move never recognized by the international community.
Syria has repeatedly reaffirmed its sovereignty over the Golan Heights, saying the territory must be completely restored to its control.
Israel has also said that it plans to name a proposed train station near the Western Wall of Jerusalem al-Quds after Trump in appreciation of his support for Tel Aviv.