Gauri and the 47-year-old actor's baby boy, through surrogacy, was reportedly born on May 27 at 34 weeks of pregnancy.
"A lovely evening spent at Shahrukh's place for celebration of Eid and his new born son AbRam, who is adorable," Bachchan posted on facebook.
"...Lots of friends and well wishers... And with the children and grandchildren.. Finished late, but happy late..," he added.
Bachchan's grandchildren along with daughter Shweta visited him on Eid and the 70-year-old actor took his grandson Agastya to catch the latest Shah Rukh starrer Chennai Express.
"The children are back.. Navya-Naveli, Agastya, Shweta all. The house is filled with the sound of little feet. Was showing Agastya Chennai Express.. Fun!!," he had posted on Twitter on the eve of Eid.