Tsipras said attracting investment was a priority for his leftist-led government, which aims to reduce the jobless rate and make Greece financially independent in 2018, when the country's third international bailout expires.
"Greece is an opportunity... a real opportunity," Tsipras told French business leaders accompanying French President Emmanual Macron on a two-day trip to Athens.
"You won't regret your choice," he said.
After seven years of crisis, Greece's economy could grow by more than 2 percent, Tsipras said.
Macron echoed the call, urging Europeans to invest in Greece, returning to his theme from Thursday that Europe needs to protects its strategic investments to protect itself.
Greece has boosted investment ties with China in recent years after China's COSCO Shipping bought a 51 percent stake in Piraeus Port OLPr.AT, Greece's biggest, for 280.5 million euros.
"Greece was sometimes forced to choose non-European investments because European investors weren't there any more. I'm not happy with this situation," Macron said during his two-day visit to Athens with about 40 French executives.
"I want Europeans, as much as the whole world, to come and invest in Greece," he said. "We were here, we are here, we will be here."
France, which has a strong investment presence in Greece, supported Athens in 2015 during its talks with European Union and International Monetary Fund lenders in 2015 that almost forced the country out of the euro zone.