The newspaper Keskisuomalainen reports that little can be done to crack down on child pornography sites that are on servers beyond Finland's borders.
Now the focus is on preventing Internet users in Finland from gaining access to such sites.
Justice Minister Johannes Koskinen says the government is also considering how to oblige telecoms service providers to seek and remove paedophile material from the Internet.
Koskinen says that in Norway and Sweden operators have taken the initiative to clamp down on child pornography themselves.
A working group is due to present its recommendations on eradicating online child porn by the end of August.