Microsoft said in a blog post it observed destructive malware in systems belonging to several Ukrainian government agencies and organisations that work closely with the Ukrainian government.
The victims of the malware include Ukrainian government agencies that provide critical executive branch or emergency response functions, Microsoft said.
Also affected was an information technology firm that manages websites for public and private sector clients, including government agencies whose websites were recently defaced.
Microsoft did not identify the IT firm involved.
The US software giant, which first detected the malware late last week, said the malware attacks did not make use of any vulnerability in Microsoft products and services.
A massive cyber attack splashed on government websites last week, warning Ukrainians to "be afraid and expect the worst", leaving some websites inaccessible and prompting Ukraine to open an investigation.
Reutersreported that Ukraine had suspected a hacker group linked to Belarus intelligence carried out a cyber attack, and that it used malware similar to that used by a group tied to Russian intelligence, according to a senior Ukrainian security official.
The malware, which is disguised as ransomware, would render the infected computer system inoperable if activated by the attacker, Microsoft said, adding the company will continue to work with the cyber security community to identify and assist targets and victims.