Wales wing Joyce had a phenomenal tournament and her combination of stunning pace and her eye for the try line played a big part in Team GB getting to the semi-finals.
But they were beaten in the last four by France which meant they played Fiji in the bronze-medal match.
The South Sea Islanders came out on top 21-12.
It meant Team GB finished fourth and narrowly missed out on a medal.
“You can probably tell by all our faces we are absolutely gutted,” said Joyce, whose impressive teammate, Team GB co-captain and former Glantaf pupil Megan Jones, also hails from Wales.
“We’re Team GB, we are three different nations, and we have only been together for four or five months.
“I couldn’t be prouder of the girls for us come fourth and push New Zealand right to the end, beat the USA in the quarter-finals and, unfortunately, lose to Fiji who are a very good side.
“We’ve definitely put our programme in a better place. We can call ourselves Olympians.”
Great Britain hit back ⚡
No catching Jasmine Joyce!
A lot to play for in this women's rugby sevens semi-final clash.
Watch: https://t.co/GI5n5Imd6l
📲 Live on @BBCiPlayer and 🔴 BBC Red Button#bbcolympics #Tokyo2020 https://t.co/Tev9MdEwIU
— BBC Sport (@BBCSport) July 31, 2021
Joyce had started her Olympics in impressive fashion and on the big occasion against France she also got off to a flyer.
She scored two first-half tries in the semi-final, but Les Bleus turned the tables to come out on top 26-19.
It meant that Fiji were Team GB’s final opponents with a bronze medal on the line.
Fiji’s Alowesi Nakoci scored two first-half tries with Reapi Ulunisau adding a breakaway score in the second period.
The aformentioned Jones, who went to Ysgol Glantaf in Cardiff, scored twice in reply, but ultimately an impressive Fiji proved too good.
In the final, New Zealand justified their status as pre-tournament favourites and vanquished the ghosts of their Rio 2016 final defeat by Australia with a 26-12 over France to seal gold.
It meant France took silver, Fiji bronze, with Team GB in fourth but out of the medals.
