The father-of-two appeared in the Central Committal Court after he was arrested and charged under the criminal code, with one count of sexual penetration and one count of deprivation.
The three-year-old victim is from the same district as the accused.
Police allege that on May 13 this year, the victim was taken by the accused while the parents were busy attending to other things during a family gathering out at the Adventure Park, outside Port Moresby.