"Early investigations indicate a software malfunction has allowed an internet browser to be accessed via the touchscreens," she said.
"It appears the content was manually loaded by a member of the public."
Both screens will remain off until the investigation is complete and the MRA is assured it will not happen again.
"The contractors involved have been instructed to undertake a full investigation and provide a comprehensive report on the incident and ICT set-up of the screens," the spokeswoman said.
Police will become involved if it is determined a crime has been committed. WA Opposition Leader Mike Nahan said he was concerned about possible further breaches of government data.
"Cleary it's a breakdown in safety," he told reporters.
"It's just a warning to the government and to its facilities that you have to redouble your effort to protect the communication facilities of government, and particularly the privacy of the information that is gathered - health and police and elsewhere."