The pair emerged as class of the field after a frantic opening to the Austrian Grand Prix and fought it out for victory, Dovizioso prevailing by 0.176s despite a desperate last-corner lunge by his rival.
Having won the last two Global Positioning System, three-time world champion Marquez has a 14-point lead in the standings over Maverick Vinales, who was fourth on Saturday with his Yamaha team-mate Valentino Rossi seventh.
Dovizioso was not happy with how Marquez tried to force his way through on the inside of Turn 10 though as he gestured towards him, with the Spaniard's Honda sliding out of control as he ran wide allowing Dovizioso back through to take the win and add to his earlier successes at Mugello and Barcelona.
It was a disappointing start and finish for Marquez, who was passed by Lorenzo on the first lap after beginning on pole. However, that was just a temporary push as the Honda rider charged back into taking second place.
Marquez retook the spot shortly thereafter at Turn 7, but again couldn't shake Dovizioso - who slipstreamed past on the main straight with seven laps to go.
Although Johann Zarco and then Marquez knocked Rossi off top spot at the halfway point, the Italian went quicker again and became the first rider to beat Andrea Dovizioso's Friday benchmark by going under the 1m24s barrier.
On that lap, they traded places several times, Marquez not managing to make a move stick and easing the pressure on the Ducati for a few laps afterwards. The last corner was completely on the limit, but this is MotoGP.
Marquez lunged down the inside of the Italian, with both forced wide but Dovizioso getting a better exit to hang on to victory.
Marquez recovered to finish second ahead of Honda teammate Dani Pedrosa, with Lorenzo coming home in fourth after fading from the battle at the front early on. Aspar Ducati's Alvaro Bautista finished 8th with Avintia Ducati's Loris Baz finished 9th.
Last year's victor Andrea Iannone will start 10th on the grid after finishing nearly a second off the pace on his Suzuki.
Australia's Jack Miller crashed out on lap nine of the race.
Dileep's bail plea pushed to Friday
He was arrested barely months before she turned 18 and he has named his daughter Meenakshi in the plea as well. They said they had also investigated in detail about the factors that caused the delay in filing complaint.
HBO Hackers Are Demanding Millions In Bitcoin
One document released appears to list personal phone numbers and email addresses for cast members Emilia, Lena and Peter Dinklage. HBO has been hacked in the past, with four episodes of GOT season five and several images of Jon Snow's death leaked online.
The Beazley PLC (LON:BEZ) Declares GBX 3.70 Dividend
It improved, as 6 investors sold GAM shares while 21 reduced holdings. 27 funds opened positions while 40 raised stakes. Among 8 analysts covering Reckitt Benckiser ( OTCMKTS:RBGLY ), 4 have Buy rating, 1 Sell and 3 Hold.
Tom Cruise Gets Injured Doing Dangerous Movie Stunt
Oh no! Tom Cruise appeared to be injured while filming a stunt on the set of his upcoming movie, Mission Impossible 6 . Cruise explained , "I was hit by a tiny particle from the runway and I literally thought it broke my ribs".
Informa Plc (INF) Receives "Buy" Rating from Peel Hunt
Six equities research analysts have rated the stock with a hold rating and nine have assigned a buy rating to the company's stock. The Tennessee-based Delta Asset Mgmt Ltd Llc Tn has invested 0% in Trifast plc (LON:TRI). (NYSE:FE) for 10,165 shares.