The Lamborghini driver finished 42 seconds clear of Matt Close in an Audi TT RS Plus, with Tony Quinn finishing third in modern, another 24 seconds back, in his Nissan GT-R.
White started the season with a win in Adelaide in August, but had a disastrous second round in Victoria, failing to finish after his Lamborghini experienced mechanical problems.
But his victory in Hobart puts the defending champion back in contention, with Targa Tasmania in April the final round and offering double points.
Quinn leads the championship with 178 points after finishing second to White in Adelaide and wining Targa High Country at Mt Buller.
Peter Rullo, fourth this weekend, is second with 162 points, Clinton Atentz third on 154 with White fourth on 135 points, up from 8th.
White’s form across the 14 stages and 208 competitive kilometres on the roads south of Hobart was superb. He started the second day 44 seconds clear of Close and immediately stretched his lead to 55 seconds, taking a clear 10 seconds on the opening Pelverata stage.
With victory his to lose, White eased off across the final six stages to arrive back at the finish line a comfortable winner.
In the battle for classic honours, Matthew Cardinaels was superb, not only winning the outright tile but also winning the Late Classic handicap competition in his 1972 Datsun 240Z.
Early Modern was won by Matthew Rickards, whose time in his 2002 Mitsubishi Lancer Evo 7 RS was bettered only by the top three modern cars in the 90 strong field.
White has won six of the last seven Targas, and he has now set his sights on Targa Tasmania in April.
"We came here with a win at all costs attitude," White said of his championship aspirations. "It had to happen, and it was a must for us to do well here.
"After a few dramas yesterday we were pretty relieved to overcome them and get back to where we needed to be.
"It was smooth sailing for the whole day, and after we woke up this morning in the Pelverata stage, we felt very comfortable in the car after that. All the calls were coming out well, and we got all the apexes, so it's been a good day.
"We kept pushing on pretty hard all day. Quinn and Close were having a big battle, and it's easy for a 40 second lead to evaporate, so we get on it and it all went well."
Showroom 4WD saw Scott Millar (Mitsubishi) and Ben Newman (Subaru) slugged it out over both days. Millar took the honours after a strong opening day, but Newman showed his development in the sport by narrowing the margin on the final day, eventually finishing 16 seconds behind.
Indonesia’s Bunjamin Noor won Showroon in his Renault Megane RS 250, Craig Dean made it two straight wins in Showroom Sports with a come-from-behind performance in his Ford Mustang Shelby GT500, and Geoff Duggan, in his 1969 Datsun 2000 Sports, won Early Classic Handicap. Philip Frith easily won Regularity.
The final round of the 2012/13 championship, Targa Tasmania, starts in Launceston on April 16, finishing in Hobart on Sunday April 21.
Results after day 2Â - Targa Wrest Point (Provisional)
MODERN
1. Jason White / John White, Lamborghini Gallardo Super Trofeo Stadale
2. Matt Close / Casey Close, Audi TT RS, +42s
3. Tony Quinn / Naomi Tillett, Nissan GT-R, +1m06s
4. Peter Rullo / Simon Iseppi, Nissan GT-R, +2m22s
5. Jim Richards / Barry Oliver, Porsche 911 GT2 RS, +3m58s
6. Stewart Liddle / Michael Lloyd, Subaru Impreza WRX, +6m19s
7. Clinton Arentz / Pete Burrey, Mitsubishi Lancer Evo X, +8m09s
8. Kym Illman / Kathryn Lehmann, Mitsubishi Lancer Evolution IX, +12m17s
9. Sam Tapping / Dane Bignell, Holden Commodore SS Ute, +14m04s
10. Toby Gill / Paul Hibberd, HSV Maloo, +15m13s
CLASSIC OUTRIGHT
1. Matthew Cardinaels / Jason Page, Datsun 240Z
2. Greg Garwood / Daniel Willson, Holden Torana A9X, +1m09s
3. Donn Todd / Dean Tighe, Ford Capri Perana, +1m11s
4. Roger Paterson / Richard Geue, Porsche 911 Carrera RS, +2m58s
5. John Ireland / Michael Ribot, Porsche 911 Carrera 3, +3m11s
EARLY MODERN
1. Matthew Rickards / Damian Grimwood, Mitsubishi Lancer Evo VII RS
2. Michael Pritchard / Gary Mourant, Porsche 911 GT3 RS, +2m28s
3. Sam Button / Nathan Walker, Mitsubishi Lancer Evo III, +3m13s
EARLY CLASSIC HANDICAP
1. Geoff Duggan / Leon Duggan, Datsun 2000 Sports
2. Peter Killick / Todd Leary, Ford Cortina Mk1, +3m58s
3. Donn Todd / Dean Tighe, Ford Capri Perana, +5m27s
LATE CLASSIC HANDICAP
1. Matthew Cardinaels / Jason Page, Datsun 240Z
2. Alan How / Cindy How, BMW 325i, +2m07s
3. John Ireland / Michael Ribot, Porsche 911 Carrera 3, +2m44s
SHOWROOM
1. Bunjamin Noor / Lee Challoner-Miles, Renault Megane RS 250
2. Mark Mackay / Dennis Neagle, Mazda MX5, +58s
3. Matilda Mravicic / Kelly Handley, Mazda MX5, +2m08s
SHOWROOM 4WD
1. Scott Millar / Chris Dean, Mitsubishi Lancer Evo X
2. Ben Newman / Crichton Lewis, Subaru Impreza WRX STI, +16s
3. Ralph Norton / Alex Norton, Subaru Impreza WRX STI, +5m19s
SHOWROOM SPORTS
1. Craig Dean / Emma Quigley, Ford Mustang Shelby GT500
2. Neill Ford / Neill Ford, Chevrolet Corvette Z06,+48s
3. John Mansell / Tristan Catford, Porsche Cayman, +21m39s
REGULARITY
1. Phillip Frith / David Frith, Porsche Boxter S, 86 points
2. Andrew Clingeleffer / David Rust, Ford FPV GT, 128 points
3. Peter Pisko / Lily Pisko, Nissan 350Z Track, 270 pointsÂ
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