The 24-year-old Babita, who had bagged the silver in the 2010 Commonwealth Games, won 9-2 against the 32-year-old Brittanee, who ended up injuring her finger during the bout.
Babita dominated most of the proceedings and it was only in the last 15 seconds that Brittanne managed to open her scoring but by then it was all over.
It was the fourth gold medal for India in wrestling.
Dipa first Indian woman to clinch CWG gymnastics medal
Dipa Karmakar became the first Indian woman and the second person from the country to clinch a historic Commonwealth Games medal in artistic gymnastics when she won the women's vault bronze at the SSE Hydro here Thursday.
Babita beat Canada's Brittanee Laverdure in women's 55kg freestyle final
Ashish Kumar had won India's maiden gymnastics medals in CWG when he scalped the men's vault silver and men's floor bronze fours years ago in New Delhi.
England's Claudia Fragapane won the gold with an average score of 14.633 while Canada's Elsabeth Black took home the silver with 14.433.
Agartala-born Dipa got the bronze with an average score of 14.366. The 20-year-old had scored a mere 13.633 points in Vault 1, the lowest out of eight competitors in the final.
However, in a remarkable comeback, Dipa scored the highest in Vault 2 with 15.100 to bring up her average to 14.366.
Earlier in the day, Ashish had finished sixth in the men's floor final where he took bronze in 2010.
With a score of 15.533 points, England's Max Whitlock clinched the gold while Canada's Scott Morgan (15.133) took the silver. New Zealander David Bishop (14.55) won the bronze.
The 23-year-old Ashish finished sixth out of eight competitors with a score of 13.8 points.