Price, who won the world kick-boxing title four times as a teenager and later represented Wales at football, was delighted with her victory after winning bronze in Glasgow four years ago.
She beat Australian Caitlin Parker on a split decision to win gold in the women’s 75kg division.
“I knew it was going to be tough, boxing an Australian in her backyard, but I pulled it off,” said Price.
“I am the first Welsh women’s boxer to win Commonwealth Games gold and I am happy with that.”
Lee, 19, celebrated a unanimous win over Samoan Ato Plodzicki-Faoagali in the men’s 81kg final, only his third senior fight.
England’s Sandy Ryan beat Eccles in a split decision in the women’s 69kg boxing final.
Wales leave the Gold Coast with four boxing medals, one less than in 2014 though all five were bronze four years ago.