Interneto Vizija (IV) was founded in 2003 and serves about 68,000 customers.
Alongside its core shared web hosting and data centre offerings, it provides services including website development, e-mail, domain names, VPS servers and SSL certificates.
The deal comes on the back of Perwyn acquiring a majority position in Miss Group to support the growth ambitions of the business through international expansion and ongoing M&A.
Mattias Kaneteg, Miss Group founder and chief executive, said: This transaction provides a great platform for expansion across the Baltic region. IV is an excellent business and we are looking forward to growing both the shared web hosting and datacentre divisions and delivering new value-added solutions to our customer base in Lithuania.