Hillary Clinton is sweeping the Democratic primaries across the South by capturing nearly all the black vote — a staggering 86 percent in South Carolina. But she’s doing it with poisonous lies designed to stoke racial resentment.

Clinton routinely tells blacks they are the victims of “systemic racism” and scolds whites for not demonstrating more “humility.” She falsely claims discrimination is causing the higher poverty and incarceration rates among blacks.

There isn’t a shred of evidence to back up her claims — yet she gets a pass from the media.

Let’s separate facts from her racially inflammatory fictions.

On the campaign trail, she complains “race still plays a significant role in determining who gets ahead in America and who gets left behind,” noting black families have “just a tiny fraction” of the wealth of white families.

Yes, there’s a wealth gap. Hillary blames it on racism instead of confronting the self-destructive choices young blacks are encouraged to make by a welfare system that subsidizes girls having babies before they finish their education or marry.

A troubling 73 percent of black children are born to single mothers. That’s not a vestige of slavery, as some liberals argue. In 1950, before widespread welfare, the figure was only 18 percent.

“It is well known that people who finish high school, hold a job and do not have children until they are 21 and have a steady partner are almost never poor,” says black Columbia professor John McWhorter.

Clinton rages against a “school-to-prison pipeline,” blaming “racist” schools that disproportionately suspend black students, “racist” police who target blacks and “racist” judges who mete out longer sentences to blacks than whites for the same offenses.

Again, she’s got the facts wrong.

Evidence of a school-to-prison pipeline is “laughably weak,” notes Manhattan Institute scholar Heather Mac Donald. While black students are suspended at twice the rate of Hispanics and whites, blacks misbehave more — another consequence of inadequate parenting and failure to stress school achievement at home.

And it’s ridiculous to suggest racist educators are to blame. Teaching is among the most liberal professions.

At schools, Hillary proposes ending suspensions, and keeping disruptive students in the classroom while they get counseling. Mayor Bill de Blasio tried that, and assaults shot up 40 percent the first year. The victims of this misguided policy are kids who want to learn, especially poor kids who can’t escape an unruly school.

Clinton apologizes for having used the word “super-predators” to describe teens maiming and murdering without remorse. But there’s no denying the problem — and it has a racial component. The homicide rate among black males 14 to 17 is nearly 10 times higher than for whites and Hispanics that age.

As for prison, Clinton tells black audiences it’s time to fix the “crisis of mass incarceration” of black men. But neither she nor anyone else has produced evidence that blacks are given longer sentences than others for the same offenses.

Nor is drug-law enforcement to blame. In federal prisons, drug offenders are 48 percent Hispanic, 22 percent white and 27 percent black. Most incarcerated blacks are in state prisons, for violent crimes and repeated theft.

For seven years, President Obama has played the race card, rubbing raw the emotions between blacks and whites.

A Clinton presidency will make it worse. She pledges to enshrine racial preferences in hiring and college admissions, never mind fairness, or the impact on whites and Asians applying to schools and for jobs.

Obama dignified race hustler Al Sharpton with roles at White House events. Now Hillary’s seeking Sharpton’s advice. She ought to repudiate him as the David Duke of her party.

Hillary’s electoral strategy is to win big with minority voters. No surprise, she’s trying to duplicate Obama’s successful campaigns in 2008 and 2012, when he lost among whites but was carried to victory with overwhelming black support. This time, the nation needs a president who embraces all Americans and tells them the truth, even about race.

Betsy McCaughey is a senior fellow at the London Center for Policy Research.