Somare is facing allegations that he failed to submit financial statements for several years of financial statements and misapplied electoral funding, according to the ABC earlier this month.
The minister could possibly face a suspension from office if the tribunal finds him guilty of the charges.
In March his father, recently retired Prime Minister Sir Michael Somare, was found guilty of failing to properly file personal tax returns for several years.
Yet he was suspended from office for just two weeks without pay.
Arthur Somare is responsible for the Independent Public Business Corporation, which holds a 16.6% stake of the PNG LNG project for the PNG government.