The rise in his approval rating is likely due to a bump in his rating among Republicans (94 percent, up six percentage points from early January) and independents (42 percent, a boost of five percentage points).
President Barack Obama held the previous record, 86 points, during the 2012 elections, which Trump matched earlier in his presidency.
Most Americans approved of the US military action in Iran that took out Iran's top military general Qassem Soleimani earlier this month - 53 percent supported the strike compared to the 45 percent who opposed.
In addition to the drone strikes, Gallup also cited the United States-Mexico-Canada (USMCA) trade deal and his impeachment case as reasons for his climbing approval rating.
"Americans' confidence in the economy is higher than at any point in the past two years," the analytics company said.
"Similarly, national satisfaction is the highest in nearly 15 years."
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The poll was taken between January 19-26, while Trump's impeachment trial was going on.
Of those surveyed, 52 percent supported his acquittal, while 46 percent called for his removal.
The GOP is also enjoying a boost in popularity - the Republican party overall is viewed more favorably than it has been since President George W. Bush was in office in 2005.
More than half of Americans now have a positive view of the GOP, compared to only 43 percent last September.
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