Wednesday's rating compares to a 57 percent disapproval in a September survey.
A 32 percent approval rating would be a record low for Trump, but the poll may be an outlier.
A new poll shows that less than a year into his first term, President Donald Trump's approval rating has dropped in all 50 states.
"The polls that failed to detect the full strength of President Trump on Election Day continue to underestimate the president's support for the job he is doing, paying way too much attention to the Twitter wars and ignoring the public support for numerous actions he is undertaking", wrote Mark Penn, a pollster for former President Bill Clinton and chief strategist for Hillary Clinton's presidential campaign.
At the time of his inauguration, 49 percent of voters approved of Trump and 39 percent disapproved.
"After a turbulent stretch of heartbreaking tragedies, President Donald Trump is still deep in negative territory", said Tim Malloy, assistant director of the Quinnipiac University Poll said in a statement announcing the results.
But only 27 percent of voters are "very satisfied" or "somewhat satisfied" with the way things are going in the nation today, while 72 percent are "somewhat dissatisfied" or "very dissatisfied".
Their personal financial situation is "excellent" or "good", 73 percent of voters say, while 26 percent say it is "not so good" or "poor". "They remain troubled by the president's competence, but see the economy booming along under his stewardship".
Republicans say 67 - 21 percent the remarks were appropriate and white voters with no college degree are divided 46 - 45 percent. Just over half of voters disapprove of NFL players taking a knee during the national anthem, though 66% of millennial voters between the ages of 18 and 34 approve of the players' actions.
And voters panned Trump's handling of key issues. Hispanic voters are divided 46 - 45 percent.