Complaints about private health cover are typically fewer in number compared to other forms of insurance.
The findings come from the Private Health Insurance Ombudsman (PHIO), a body which provides an independent service to consumers in the health cover sector.
In the period between 2009 to 2010, PHIO found that complaints about premium increases "remained relatively low".
PHIO's State of the Health Funds Report aims to increase consumer education when it comes to private cover.
The number of high level complaints received by the ombudsman decreased over the period by two per cent, whilst the percentage of those covered increased by 2.5 per cent.
PHIO spokesperson Samantha Gavel says: "The decrease in the number of complex, high level complaints is good news for consumers as it shows they are being more successful at resolving their disputes with the insurer directly."
Only around one in 1,600 members complained to the PHIO in the year, which the body believes can be attributed to strict regulation.
According to the report, some health insurers have posted retention rates of up to 96 per cent, illustrating the level of satisfaction and security felt by many with private cover.