Trump says 'I have confidence' after past North Korea missile tests
Three-quarters approve of Trump speech: polls
Seventy-six percent approved of the speech in the CBS poll, with 24 percent saying they disapproved. About 59 percent of respondents to the CNN poll had a very positive reaction to the speech, while 17 percent said they had a somewhat positive reaction. Roughly one-quarter - 23 percent - had a negative reaction in that survey.
However, a significantly higher proportion of Tuesday's viewers were Republicans, compared to the population at large, reflecting a trend that more State of the Union viewers tend to be members of the president's party.
About 43 percent of respondents in the CBS poll identified themselves as Republicans, while 24 percent said they were Democrats and 30 percent identified as independents. In a CBS poll released last month, 25 percent of those surveyed said they were Republicans.
CNN respondents were also 17 percent more likely to identify as Republicans than the general population, and 61 percent told CNN before the speech they already approved of the job Trump is doing as president, a figure about 20 points higher than his national approval rating.
Approval of the speech was starkly divided along partisan lines. Almost all of Republicans who tuned in - 97 percent - approved of the president's speech, according to CBS News, while only 30 percent of Democrats said the same. About 82 percent of independents in that survey who watched the speech liked what they heard.
About 87 percent of Republicans told CNN they had a very positive reaction to the speech, while 64 percent of Democrats had a very or somewhat negative response.
Trump Tuesday night hopscotched between calling for bipartisanship and national unity and doubling down on hot-button issues such as immigration and abortion.
"I stand here ready to work with you to achieve historic breakthroughs for all Americans," Trump said, adding later that "countless Americans are murdered by criminal illegal aliens."
Only a third, 33 percent, of respondents, however, told CBS they believed Trump and Speaker Nancy Pelosi (D-Calif.) will work together more after the speech, while 63 percent said there would not be much change in their working relationship.
The CBS News survey polled 1,472 adults who watched the State of the Union address and has a margin of error of 3 percentage points.
The CNN poll surveyed 584 adults who watched the State of the Union address and has a margin of error of 5.4 percentage points.