It took the 18-year-old Babos 81 minutes to prevail over the 21-year-old Romanian 6-4, 6-4 on the hard courts at Sierra Madre Tennis Club.
The young victor got five aces past her opponent while appearing in her initial final.
Cadantu was also appearing her first-ever women's tour final.
Martin Bashir resigns from MSNBC over Sarah Palin comments
Man spent 15 hours in jail for plugging electric car into an outlet at a school