The 17-year-old filmstar has been photographed spending time with the 15-year-old Brit over the last few months.
While neither have confirmed if their relationship is more than just friendship, Moretz has claimed that she is having fun with Beckham's son.
While on Watch What Happens Live, the American actress said: "He's a very good guy and he's a good person. I enjoy hanging out with him."
Retired footballer Beckham is also father to sons Romeo and Cruz, as well as daughter Harper.