"We were in production for the first six months of this year - man, it was hell," chief executive Elon Musk said on the company's investors' call.
"And then we just managed to sort of climb out of hell basically part way through June. And now our production line is humming."
Tesla wanted to deliver 17,000 vehicles in the second quarter - a number analysts doubted after previous shortcomings.
Tesla instead delivered 14,402 vehicles, as it showed progress toward the company's goals.
"Production and demand are on track to support deliveries of approximately 50,000 new Model S and Model X vehicles during the second half of 2016," company executives wrote in a note to investors Wednesday.
Analysts said that they can excuse production problems now as long as the company gets on track by the time subsequent models are set to be produced by the hundreds of thousands.
"Fourteen thousand instead of 17,000 isn't that big of a deal," Caldwell said, "but if you say 500,000 and you're not even close, that is a problem."
Tesla shares were up almost 2 per cent in after-hours trading.
The company is facing new challenges as it continues to build its business.
Unfortunately or fortunately, Tesla can't sneeze without there being a national headline.
Federal regulators recently launched a probe into a crash that killed a Tesla Model S driver in May. The company's semi-autonomous "Autopilot" mode was on during the crash.
Musk also proposed combining the solar panel company SolarCity, a firm that he also chairs, with Tesla to double down on renewable energy generation. This week, the companies agreed to a $2.6 billion merger.
The company opened its battery "gigafactory" outside Reno, Nevada, in July. Musk also released his second "master plan" for the carmaker, in which he announced that the company would begin developing autonomous urban transportation vehicles and a fleet of autonomous ride-sharing cars.
And Tesla's autonomy sensor supplier, Mobileye, announced in July that it would break with Tesla and would no longer supply sensors as Musk pushes toward higher degrees of autonomy.
"Unfortunately or fortunately, Tesla can't sneeze without there being a national headline," Musk said on the call.