The 48-year-old star shared a sweet picture of her twins snuggling up with Rodriguez and his daughters on Instagram.
"This," Lopez captioned the photo along with a heart emoji.
The photograph featured Lopez's 9-year-old son, Max, hugging the former New York Yankee while he was surrounded by Emme, 9, along with his own daughters Natasha, 12, and Ella, 8.
The post came after a week-long birthday celebration for the couple, who has been dating for a little over four months.
Lopez, who turned 48 on July 24, and Rodriguez, whose 42nd birthday was on Thursday, kicked off the celebration in Miami on July 22.