Telstra customers across the country are angry they could not access their emails for four days due to problems with the telco's BigPond internet services.

Problems with BigPond's user login and email services continued Thursday despite Telstra saying the services were restored on Tuesday.

This afternoon Telstra spokesman Martin Barr told ABC News Online that some accounts are still not working but that they were at the "tail-end" of the problem.

He maintains the email outage was resolved on Tuesday and that no emails have been lost.

"The issue is resolved - there's just a small number left to be fixed. We're just at the final residual bit at the end," Mr Barr said.

Mr Barr says about "two dozen" accounts are still left to be fixed, but he is unsure how long that will take.

But an update Thursday morning on BigPond's service status page said the problem, which began Monday, was ongoing and affecting customers nationwide.

"We are currently having problems with BigPond Mail. This is affecting customers nationally," the website said.

"Some customers may experience issues accessing their accounts. Technicians are treating this issue as a priority and are working on the problem.

"We apologise for any inconvenience this may cause you."

Telstra's website says the email outages affect dial-up, cable, ADSL, satellite and Next G wireless services nationally.

Dorroughby resident Paul Recher said he was frustrated that he could access his email since Monday.

"Three, four days - what's going on here? I find this very smelly," he said.

"It's outrageous - customers are owed more."

He is also angry BigPond did not alert him to the problems or make it clear on its website that they were having issues.

"This is a prime example of bad customer service. I had to search it out. I had to spend time finding out what happened," he said.

"They could have made the announcement of what's going on on their webpage instead of leaving it up to the customer to navigate their site to find out what was happening.

"It seems to me like they're trying to hide the problem.

"There is no doubt in my mind Telstra BigPond is trying to keep the lid on this."

Mr Barr says Telstra apologises for the inconvenience.

Late Thursday afternoon Telstra sent a message on Twitter and updated its service status page to say the email problems had been resolved.