The latest discovery is off the Exmouth Plateau area, located in the prolific Carnarvon Basin.
Kentish Knock South-1 encountered about 75m of net gas pay in the upper Mungaroo sands.
The well is located in the WA-365-P permit area about 280km north of Exmouth off the WA coast.
Chevron is the operator of the permit with a 50% interest while Shell Development Australia holds the other 50%.
The well was drilled in 1168m of water to a total depth of 3065m.
The company first announced a gas discovery on the permit in 2009. Back then Kentish Knock-1 encountered 34m of net gas pay.
Chevron Asia Pacific Exploration and Production president Melody Meyer said Kentish Knock South-1 was an "important addition to our queue of high-quality offshore natural gas opportunities in Australia and further supports our long-term plans to expand our Australian LNG position".