Samountry allegedly had the items couriered to three Auckland addresses.
The offences are said to have happened between December 2010 and February this year.
Samountry - who taught fitness classes at an Auckland gym and is a dancer with a freelance choreography business called Funk'n'Latin - is now working for Jetstar as a cabin crew member.
It is alleged he used the credit card details to buy mobile phones, sold them on and then used the proceeds to buy other goods, including overseas travel.
Council spokesman Glyn Walters said Auckland ratepayers could have confidence in the council's financial systems.
"Our financial processes are regularly audited and reviewed under our risk and assurance programme, which includes an external audit by Audit NZ.
"This was an isolated incident relating to a former staff member, whose employment with the council ceased in April 2011."