Kone's chief executive, Antti Herlin, and secretary of the board of directors, Tapio Hakakari, are suspected of having peeled off profits of more than one million euros by benefitting from insider knowledge.
The daily Helsingin Sanomat says the two bought shares in the engineering group Partek for millions of euros for the Herlin family company Security Trading.
The transactions happened before Kone made an offer to buy Partek. The bid boosted Partek's share price significantly, yielding the speculators a profit of one and a half million euros.
Kone and Partek merged in 2002.
According to Helsingin Sanomat, Herlin and Hakakari were the main negotiators in the deal.
They can be charged with insider trading if police can prove that the two men knew about the merger when they bought the Partek shares.
The Kone executives deny any wrongdoing.
