The two 20 and 21 year-old men, one a resident of Helsinki, one of Kirkkonummi, are to be charged with a number of offenses including malicious damage, theft and trespassing.
The men are also suspects in two previous similar incidents.
Tuesday morning's vandalism targeted the home of Finance Minister Alexander Stubb, as well as a nearby daycare centre and a nearby school. The two men fired an air rifle at Stubb's home, broke windows in the buildings, and stole computer parts from the school.
Police are focusing their investigation on determining a motive and seeking to determine if there was intent to harm the occupants of Stubb's home. According to the lead investigator, the two suspects have not indicated any political motive for their actions. The two had, though been drinking.