The survey showed only 39 percent of Americans approve of the president's job performance.
The polling was widely discussed on social media, with the sponsorship of it coming under scrutiny from some.
CNN host Ana Navarro-Cárdenas said a recent Rasmussen poll of black voter support increasing for President Donald Trump is fake, quipping that only Kanye West, Diamond & Silk were surveyed.
The poll was conducted by conservative-leaning Rasmussen Reports, which regularly finds a higher approval rating for Trump than other major polls.
Rasmussen Reports consistently gives Trump higher approval ratings than other polls.
Rasmussen has consistently been more favorable to Trump than other polls.
Most Americans think Christmas has become too commercial.
Trump once tweeted that Rasmussen was one of the most accurate polls. He probably hopes that's not true now.
Rasmussen's Monday poll results are more encouraging for the president than other recent surveys.
The two mainstream parties are selling two flavors of authoritarianism at a time when billions are discovering a better way to live in peace and freedom.
Military intervention against Isis could be justified as self-defence or preventing a campaign "pretty close to genocide", said Anders Fogh Rasmussen
The plans aim to reassure former Soviet bloc states in the alliance, and also include provisions against cyber attacks
President Obama made the remarks at the NATO summit in Newport, Wales
NATO will develop a new rapid-response military force in the wake of Russia's incursions into Ukraine, its Secretary-General has said