PHOTOS: Ivanka Trump introduces her baby boy to the world

Oct 16, 2013 at 8:10 a.m. ET

Ivanka Trump has already introduced her baby boy to the world on Instagram, and revealed his very traditional name — as well as the cutest shot ever of her daughter meeting her brother!

Ivanka Trump baby

Ivanka Trump just gave birth on Monday night, but she already is making her son internet famous.

The businesswoman and reality star posted two personal photos to her Tumblr, showing herself with her new bundle of joy shortly after birth and her daughter Arabella snuggling with her new little brother, who happens to have quite a serious name.

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"Please join in our joy as we welcome Joseph Frederick Kushner, named after each of our paternal grandfathers, both master builders of their generation and inspiring patriarchs of their families," Trump wrote.

"Jared's grandfather, Joseph, was a rock. His indomitable spirit, his sense of family, and his work ethic are the values we hope to hand down to our son. My grandfather, Frederick, was a builder not just of tens of thousands of homes throughout this city, but of a tight-knit family that honors to this day the traditions he established."

"Both men set the standards that have been passed down through the generations and which we hope to impart upon Joseph and Arabella. They created a legacy for our family that inspires our careers as well as our love and respect for one another. We are honored to name our son after these two distinguished men. We feel so blessed with the newest member of the family!"

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Trump also shared an adorable snapshot of daughter Arabella meeting her little brother for the first time.

Arabella and Joseph Kushner

"Arabella is such a proud big sister!" she wrote.

In September, Trump told People that her daughter was out of her mind with excitement about the impending arrival of the newest member of the family.

"She's really excited and borderline impatient at this point because I started talking about it around six to seven months and she hasn't waited that long for anything in her life," Trump joked.

"So she asks me now, every morning, [if the baby's coming]. I think she's starting to mistrust me in the sense that her sibling is actually going to be arriving."

Images courtesy Ivanka Trump/Tumblr