Kimberly Stewart has named her baby girl Delilah.

First-time grandpa Rod Stewart announced the moniker to USA Today. "I'm a grandfather now," he said. "I've been going around blabbing that for hours now."

Kimberly gave birth Sunday, on her 32nd birthday. Academy-Award winning actor Benicio del Toro, 44, is the father. The two aren't a couple but Benicio is said to be excited about his daughter's birth and wants to help raise her.

Rod added that his ex-wife, Kimberly's mom Alana Hamilton Stewart, and his current wife, Penny Lancaster-Stewart, were there to help during the baby's birth. "We had everyone at the hospital to help Kimberly," the singer explained. "I won't say we always agree, but we get along."

Congrats, Kimberly and Benicio!

Kimberly Stewart gave birth to a baby girl Sunday and now her dad, Rod Stewart, is sharing his excitement over his first granddaugther.

"My joy is indescribable," the 66-year-old singer told People. He also told the mag it was one of the happiest days of his life.

The actress/model gave birth to her first daughter in Los Angeles on her 32nd birthday.

Kimberly's ex, actor Benicio del Toro, 42, is the baby daddy. The two haven't named their daughter yet, but the Sin City star is said to be thrilled at the new addition to his family.

Back in April, Benicio's rep told People, "Benicio is the father and is very supportive. Although they are not a couple, they are looking forward to the arrival of the baby."

Congrats to both the Stewart and del Toro clans!

It's a girl for Kimberly Stewart and Oscar-winner Benicio del Toro!

Stewart gave birth to a baby girl Sunday night in LA, with father and legendary rocker Rod, wife Penny Lancaster and mom Alana Collins, who was Rod's first wife, all present at the hospital.

This is the 32-year-old actress's first child, and while she and De Toro are not a couple, the Traffic star's rep previously said in a statement:

"Benicio is the father and is very supportive. They are looking forward to the arrival of the baby."

The baby weighed in at 8 lbs 10 oz. No name has been released.

Congrats to the new parents!

A very pregnant Kimberly Stewart didn't look too happy on Independence Day, though we do admire her independence!

Stewart, 31, daughter of Rod Stewart, is going through her pregnancy solo.

Her baby's daddy is actor Benicio del Toro, 44, but the two are not together romantically, and he was not with her for the 4th. In fact, Stewart and Del Toro have not been photographed together once since Kim announced her pregnancy in mid-April.

At the time, Del Toro's rep said: "Benicio is the father and is very supportive. Although they are not a couple, they are looking forward to the arrival of the baby."

Kim did celebrate the holiday with someone -- friend and fellow rock child Jack Osbourne. But while Osbourne cuddled with his girlfriend, Kim was on her own.

See pics of Jack and his lady after the jump, and more photos of Kim's growing baby bump in our gallery below!

Woah baby, that was fast!

Just last month, Kimberly Stewart's pregnancy with baby daddy, Benicio del Toro, 44, was announced, and her baby bump seems to have grown almost overnight.

The 31-year-old model was seen leaving Coffee Bean in Studio City on Thursday wearing a striped maxi dress, which could not hide her fast-expanding belly.

We couldnt help but notice the small blended beverage in her hand. Aren't expecting mothers recommended not to drink coffee while pregnant? Let's hope this beverage is caffeine-free.

Earlier this year, her rock star father, Rod Stewart, welcomed his second child with his third wife, Penny Lancaster. His daughter's soon-to-be born baby and Rod's latest child, Aiden, may only be about a year apart. But just how many grandchildren does the legendary singer have?

Kimberly Stewart dressed in head-to-toe black as she made her way to the doctor’s office in Beverly Hills.

The gorgeous daughter of iconic rocker Rod Stewart recently announced she was expecting her first child with actor Benicio Del Toro, though the two are not currently in a relationship.

While the announcement may have seemed a little out of the blue, we think Kim will make an amazing mom. Between grandpa Rod Stewart (who just welcomed his eighth child about two months ago) and Oscar winning daddy Del Toro, the tot’s been blessed with incredible genes!

Check out our video of Kimberly looking pregnant and fab below!

We didn't even know they were an item, but a rep for Benicio del Toro confirms that he and Kimberly Stewart are expecting their first child together!

“Kimberly is pregnant," del Toro's rep tells Life & Style. "Benicio is the father and is very supportive."

But, although they were clearly together, Kimberly, 31 (daughter of Rod Stewart) and Benicio, 44, are not together together, his rep says. “Although they are not a couple, they are looking forward to the arrival of the baby.”

Congrats!

The Daily Mirror reports that, after Jennifer Aniston spotted Kimberly Stewart hanging around backstage at John Mayer's Hard Rock Calling concert last night in London, she flipped out - and had John kick Kim out twice!

An Attempt At Civility
The first booting came courtesy of Mayer, who was trying to defuse the hostile situation by having his security escort Kim from the premises.

Jen, however, couldn't resist adding insult to injury - and made sure to give Kim the stink-eye as John's security hauled her off!

If At First You Don't Succeed...
Kim, however, would not be denied, sneaking back in ten minutes later to snap some pics of John from the side of the stage.

And, just to add insult to injury, Kim did her best to cheekily catch Jen's eye while she snapped away!

"Is This Because Of Her?"
Jen, predictably enough, hit the roof - in fact, the tension between the two women was so pronounced that Mayer had to have his security haul Kim off a second time!

According to the Mirror, Kim didn't go quietly, either - as she was being dragged off, witnesses heard her wailing "Why doesn't he want me here? Is this because of her?"

All Angelina's Fault?
According to a source, Jen's jealousy has its roots in the past - specifically, in Angelina Jolie stealing Brad Pitt away from her back in 2005.

"John and Kim know each other from clubbing in LA, but Jennifer doesn't want anyone around who reminds her that he used to be a player," a source tells the Mirror. "She has fallen head over heels for John, but she's scared it will all go wrong again."

"Another woman stole her man before when Angelina Jolie started dating Brad Pitt - she couldn't bear it to happen again."

Hey, we feel for you, Jen, but this seems like a slightly immature way to handle the situation - hopefully she does a better job the next time one of John's dozens of exes suddenly shows up!