If at first you don't succeed at Obamacare, try, try, try again.

The federal government on Tuesday began inviting about 275,000 people who had trouble creating accounts on the tech-troubled Obamacare site HealthCare.gov after it launched to "try again" after a series of ongoing software fixes.

But the government doesn't want all of those folks coming back all at once: Email notices to them are being sent out in "waves" so that HealthCare.gov isn't overwhelmed, again, by a flood of people, an official said.

"We want to make sure we are inviting individuals back into the system and their experience will be a positive one," Centers for Medicare and Medicaid spokeswoman Julie Bataille told reporters on a conference call Tuesday.

(Read more: Young women with pricey taste on Kentucky's Obamacare exchange)



Bataille said the technical upgrades being made on HealthCare.gov have left the system "stable" this week, "with users moving more quickly through it with fewer users errors."

HealthCare.gov was effectively crippled right after it launched Oct. 1 by a host of software problems that left it unable to enroll many people in Obamacare insurance, and also created serious problems with the quality of data being sent to insurers about the relatively few people who managed to create an account and shop for coverage.

Federal officials later this week are expected to release, for the first time, enrollment data for the 36 states for which HealthCare.gov is handling enrollment.