Hillary Clinton leads with 43 percent of registered voters to Donald Trump's 37. | AP Photo National poll: Clinton leads Trump by 6

Hillary Clinton has maintained her lead over Donald Trump after becoming the presumptive Democratic nominee, according to a CBS News poll released on Wednesday.

The new poll — which was predominantly conducted prior to the mass shooting in Orlando, Florida, on Sunday — finds Clinton with a 6-point lead over Trump among registered voters, coming in at 43 percent and 37 percent respectively. Her margin in last month's poll was the same, but Clinton led Trump 47 to 41 percent in that survey.


With Libertarian nominee Gary Johnson added to the mix, Clinton's lead grows to 7 percentage points — 39 percent to Trump’s 32 percent, with Johnson picking up 11 percent of the vote. (To make it onto the debate stage in the fall, Johnson, a former governor of New Mexico, will need to poll at 15 percent or higher.)

Fifty-one percent of those polled said they expect Clinton will secure the presidency in November, compared with 35 percent who predict Trump will win the election. More Democrats and independents expect Clinton to win, while Republicans predict more American voters will side with Trump.

When asked about the interpersonal traits of both candidates, Clinton and Trump scored similarly. Sixty-three percent of those polled answered “no” to whether they think Trump is honest and trustworthy, while Clinton scored only 1 percentage point lower at 62 percent for the same characteristics. On overall judgment, however, Clinton pulls ahead of Trump, earning 43 percent of support from those who believe she shows good judgment, compared with Trump who comes in at 25 percent among those who view his judgment favorably.

The poll was conducted from June 9 to June 13 among 1,280 adults, 1,048 of whom were registered voters, with a margin of error of plus or minus 3 percentage points for the entire sample.