Hilton posted a photo on Instagram of what appeared to be her newborn holding her thumb.
“You are already loved beyond words,” Hilton wrote with a blue heart emoji.
US entertainment media reported that the baby boy was born via surrogate.
The former reality TV star, 41, opened up in an interview last month about starting an IVF process during the pandemic with her husband, an investor whom she married in 2021.
She told People Magazine that ‘because the world was shut down’ at the start of the Covid-19 pandemic, it was the ‘perfect time’ to ‘get all the eggs stocked and ready’.
In a statement released Tuesday by People, Hilton said his family’s “hearts are exploding with love for our baby boy.”