At the market close, the benchmark S&P/ASX 200 index was up 180.40 points or 3.46 percent at 5,387.30, while the broader All Ordinaries index was up 180.60 points or 3.43 percent at 5,439.40.
Industrials was the best performing sector, followed by information technology, while market heavyweights healthcare, resources and financials also soared.
Shares in the national carrier Qantas took off after the airline announced further flights to return stranded Aussies to Australia.
"The best performer on the market was oOh!media (OML), up 19 percent after HT&E acquired at least 11 million shares in the outdoor advertiser, representing a minimum 1.8 percent of the company. OML shares fell by 72 percent in March," Commsec market analyst Steven Daghlian said.
In the financial space, Australia's big banks lifted with the Commonwealth Bank up 3.26 percent, ANZ up 6.57 percent, National Australia Bank up 4.76 percent and Westpac Bank up 4.66 percent.
Mining stocks jumped with Rio Tinto up 0.15 percent, BHP up 0.58 percent, Fortescue Metals up 0.80 percent and goldminer Newcrest up 0.12 percent.
The country's oil and gas producers surged with Oil Search up 5.06 percent, Santos up 3.83 percent and Woodside Petroleum up 3.85 percent.
Australia's largest supermarkets varied with Coles down 1.12 percent, and Woolworths up 0.34 percent.
Meanwhile, telecommunications giant Telstra rallied 1.29 percent, the national carrier Qantas soared 9.54 percent and biomedical firm CSL jumped 5.47 percent.
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