A mother who allegedly provided images of her two-year-old daughter being sexually abused to a Canberra man has been arrested following a cross-border investigation involving federal and state police.

Police alleged the 24-year-old woman gave the pictures to William Noel Arthur, 30, who then allegedly tried to sell the material and other sexual services online.

Arthur's home in the Canberra suburb of Flynn was searched by Australian Federal Police (AFP) on Thursday on the advice of Queensland Police.

He appeared in the ACT Magistrates Court today charged with six offences related to accessing, possessing and sending child exploitation material.

Arthur allegedly committed the crimes between October 2013 and October 2015, and did not enter a plea or apply for bail.

In light of a preliminary mental health report, Magistrate Peter Morrison flagged Arthur as an offender-at-risk and remanded him in custody until his next appearance in late November.

AFP officers allegedly found child exploitation material at Arthur's home, as well as evidence he was in contact with the South Australian woman, who allegedly gave the man explicit images of her daughter.

She was identified by the South Australia Police Joint Child Exploitation Team and was scheduled to face Whyalla Magistrates Court today charged with possessing child exploitation material.

Her two-year-old girl has been placed in emergency protective care.

Police expect to lay further charges as the investigation continues.

AFP commander Glen McEwen said the operation has relied on close cooperation between officers working across state borders.

"We have been operating the Joint Anti Child Exploitation team model for almost 12 months now, where AFP Child Protection officers are embedded with State and Territory Sex Crime Commands," Commander McEwen said.

"This is yet another example of police working across borders to remove children from unspeakable situations and bringing those accountable to justice."