The social networking site, which allows uses to update comments in 140 characters, increased its UK ranking by traffic, over the year, by 931 places, to become the 38th most-visited website in the UK.
It also became the fifth most-visited social network, up from 84th year on year, according to Hitwise.
During May, Twitter was also the 30th biggest source of traffic for other sites in the UK, accounting for one in every 350 visits to a typical website.
More than half this traffic (55.9%) is sent to other content-driven online media sites, such as social networks, blogs, and news and entertainment websites, Hitwise said.
However, only 9.5% of Twitter's downstream traffic is sent to transactional websites, such as travel, business and finance sites.
By contrast, Google UK, the country's biggest search engine, sends 30.7% of its traffic to transactional sites, while social networking site Facebook sends 14.7%.
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