She’s not even two days old, but Beyonce and Jay-Z’s new baby girl is already proving to be a diva thanks to the over-the-top security measures afforded her pushy, famous parents at the Manhattan hospital where she was born.

To accommodate the influential couple’s demand for privacy for them and their new kid at Lenox Hill Hospital, other new and expecting parents said they have essentially been put on “lockdown” — and even booted out of the Neonatal Intensive Care Unit, which was on the same floor as Beyonce’s delivery “suite” — so the pampered songstress and her party could come and go unencumbered.

“They just used the hospital like it was their own and nobody else mattered,” raged new dad Neil Coulon, whose efforts to see his premature, newborn twins in the neonatal ICU were disrupted by the birth of little Blue Ivy Carter.

“They locked us into the NICU and would say, ‘You can’t come out to the hallway for the next 20 minutes.’ When I finally was able to go back out, I went to the waiting room and they’d ushered my family downstairs!”

Beyonce, 30, and Jay-Z, 42, whose real name is Shawn Carter, welcomed their new princess, born by C-section, at the Upper East Side hospital Saturday night.

The baby is reportedly named for her dad’s album, “Blueprint” and her mom’s favorite number, 4 — represented by the Roman numeral IV , or “Ivy.”

The drama surrounding Blue Ivy’s long-awaited arrival began Friday night, when Beyonce checked in under the name “Ingrid Jackson” and settled into her sixth-floor suite to have the baby.

Windows in the nearby NICU were blacked out with tape and temporary curtains hung so that nobody could see the comings and goings at the of the VIP at the other end of the hallway.

Beyonce has “her own security, and hospital security,” a Lenox Hill employee noted.

By last night, Blue Ivy and her mom had been moved down to their special pad on the fourth floor, where the Grammy-winning new mom and rap-legend dad showed her off to friends, the hospital employee said.

A hospital spokeswoman said the hospital has special patient suites and that rooms can be reserved.

She declined to give the cost but said published reports that Jay-Z shelled out $1.3 million for “an entire floor” were exaggerated but wouldn’t say by how much.

Last night, at least four security guards stood watch at the hospital’s fourth-floor elevator bank, where new parents and grandparents were still voicing their frustrations over security measures that delayed or completely prevented them from visiting.

“People are really upset and complaining,” said the hospital worker, noting that the medical staff has to “shut down” whenever there’s movement on Beyonce’s part.

Coulon — a Brooklyn contractor whose girls were born prematurely 11 days ago — said it happened at least four times between Friday and yesterday on the sixth floor.

He said some of his relatives drove four and a half hours to see his girls, only to be shunted aside for Beyonce.

Of the other NICU parents, he said, “These are parents who are going through very stressful times. To have that circus roll into town … having to deal with all this drama because someone is a superstar isn’t fair.”

Beyonce had a steady stream of visitors yesterday. A makeup artist was spotted going up with several bags in tow, and lunch was special-delivered from a local burger joint and gourmet market.

Pals who didn’t make it to the hospital weighed in on Twitter — including Diddy, Russell Simmons and LaToya Jackason.

“Welcome to the world Blue! We love you already,” wrote Beyonce best friend Gwyneth Paltrow, while Rihanna tweeted: “Welcome to the world princess Carter! Love Aunty Rih.”

Additional reporting by Helen Freund

jeane.macintosh@nypost.com