The Welsh teenager beat reigning world champion Hou Yuzhou 6-2 to claim an upset victory in the women's 57kg competition.
Jones told BBC Sport: "It still doesn't feel real, it feels crazy. I've dreamt about this for ages, and the crowd have just been amazing. This can't be beaten.
"To be the first ever British taekwondo athlete to win Olympic gold is amazing. To win Olympic gold is special, but to perform in front of all my friends and family is just amazing."
Jones's victory brought Team GB's tally to 25 gold medals at London 2012 so far, their 52nd medal overall.