Greene (15), a pupil at St Hildas Collegiate, was Otago's star at the New Zealand secondary schools athletics championships at Timaru on Sunday.
She won a gold medal in the senior girls 3000m (9min 37.53sec) and a silver medal in the 1500m (4min 39.63sec).
Her parents, Anita and Michael Greene, were on the sidelines cheering her on as she blitzed the field in the final lap of the 3000m.
Sister Jamie (18), a former New Zealand champion gymnast and a member of the Otago Spirit women's rugby team this year, will join the celebrations.
It was a good championships for Otago athletes, who won 17 medals - four gold, six silver and seven bronze.
The other Otago gold medallists were Alex Gorrie (Kavanagh) senior boys road race (18min 55sec), Blair Grant (Waitaki Boys) junior boys 100m (11.43sec) and the Otago Boys senior boys 4 x 100m relay team of Tim Lawrence, Tony Flett, John Gilmour and Joe Kemp (42.84sec).
Greene improved her time by a massive 21sec to set an Otago record in five age groups - girls aged 15, 16, 17, 18 and 19.
The most significant record to beat was the 9min 39.7sec for a 19-year-old, set by Deanna Grass (Leith) in 1990.
The significance of Greene's run is that she has five years to break Grass' record for a 20-year-old, of 9min 35.95sec.
Greene, who is coached by former Australian Jim Baird, is the most talented female middle distance runner to emerge in Otago for 20 years and has the potential to represent New Zealand at future Commonwealth and Olympic Games.
She will have her first taste of a world championships when she represents New Zealand at the world secondary schools cross-country championships in Slovakia with her training partner, Anna-Lisa Uttley, in April.
Greene has raced in Australia, but this will be the first time she has competed in Europe.
She knows that she must compete at the highest level to be remembered as an athlete.
"I have got the Commonwealth Games and Olympics in my sights, but there is still a long way to go," Greene said,.
To perform consistently in the international arena a runner needs to finish fast.
Greene demonstrated this at Timaru when she took the lead at the start of the last lap and won by six seconds.
Greene, who has also won national championship medals in gymnastics, gave up that sport last year to concentrate on her running.
"I was sick of gymnastics so I stopped," Greene said.
"I like athletics because a lot of people do it in Otago."
Greene is a natural competitor and enjoys the thrill of the race more than the grind of training.
"I like to win," she said.
"It gives me a good feeling."
Baird has adopted a softly, softly approach with Greene and will not let her run more than an hour in any training run.
Most of her training is done on the track at the Caledonian Ground.
The training session she she enjoys most is 1km repetitions, and the session she dislikes is 200m x 8 repetitions.
In her spare time Greene likes to "hang out with my friends and just do anything".
The winners
Otago's medallists
Gold: Rebekah Greene (St Hildas), senior girls 3000m (9min 37.53sec) Alex Gorrie (Kavanagh), senior boys road race (18min 55sec)Blair Grant (Waitaki Boys), junior boys 100m (11.43sec) Otago Boys, senior 4 x 100m relay team of Tim Lawrence, Tony Flett, John Gilmour and Joe Kemp (42.84sec).
Silver: Dean Rusbatch (OBHS), junior boys hammer throw (45.82m); Brent Cheshire (OBHS), junior boys high jump (1.84m); Greene, senior girls 1500m (4min 39.63sec); Anna Kean (Bayfield), junior girls 800m (2min 16.36sec); St Hildas, senior girls road race team (Sarah McLaren, Lou Harvey, Amelia Kinnaird, Laura McKay, Francis Fulton, Olivia Hay) 3 and 6 person team.
Bronze: Grant, junior boys 200m (23.81sec); Sol Frew (Wakatipu), junior boys 800m (2min 03.63sec); Lauren Wilson (Queens), senior girls 100m (12.47sec) and 200m (25.57sec); Nicole Bradley (Queens), senior girls shot put (11.15m); Columba College, senior girls 4 x 100m relay; St Hildas, junior girls 4 x 100m relay.