They allegedly brought a Fijian woman to work in their Brisbane home for about $US178 a fortnight between 2008 and 2016.
Isikeli Feleatoua Pulini and Malavine Pulini, have pleaded not guilty to the trafficking and forced labour charges but pleaded guilty to harbouring an unlawful non-citizen.
According to reports, the Fijian woman alleges she was trafficked into forced labour for the Pulinis while she was in Australia illegally.
It's alleged she was kept hidden but managed to escape from the couple in 2016.
The trial is expected to continue for most of the week.