Shares of GoDaddy, which have dropped 8 per cent so far this year, rose 2.6 per cent in premarket market trading.
According to the report, Starboard plans to push the company to improve its performance.
Arizona-based GoDaddy has seen a surge in online traffic as several businesses increasingly shifted to digital operations due to the Covid-19 pandemic.
Starboard Value and GoDaddy did not immediately respond to Reuters requests for comment.