The incident occurred in Gonin-Gora, Chikun local government area of the state.
Joseph, a carpenter was said to have been exposed by his neighbours who reported the case to the Ministry of Women Affairs and Social Development, after which he was handed over to the police.
It was also gathered that the mother of the girl is late, which gave room for the father to allegedly have carnal knowledge of his daughter.
Upon interrogation, the suspect was said to have denied it but people in the area testified that he was fond of the ungodly act.
It was, however, gathered that a doctor who examined the little girl confirmed penetration and serious infection.
Efforts to reach the Kaduna Police Public Relations Officer, DSP Zubairu Abubakar for formal confirmation of the development proved abortive as he was not picking his calls.
Earlier, the Commissioner of Women Affairs and Social Development, Hajia Rabi Abdulsalam, expressed shock and condemned the act in totality.
She directed that the little girl be given proper medical treatment.
Meanwhile, the Nigeria Association of Women Journalists, NAWOJ, through its state Chairperson, Juliet Nwogu Oyoyo also condemned the act and disclosed its plan to organize a rally to kick against rape and molestation of the women folks.