Finnish Defence Minister Carl Haglund said Finland does not have the kind of weaponry which Kurds might require.
"There is no much help if we send boxes of Finnish machine guns." said the minister.
The issue of militarising is not part of Finnish foreign policy said Haglund.
Haglund and his Swedish counterpart Peter Hultqvist both emphasised that the countries will offer humanitarian aid to the Kurds.
Denmark announced that it would send fighter jets to Iraq to help in the fight against Isis.
Meanwhile, Norway has agreed to provide humanitarian aid.