The BBC One show received 70% more searches on Yahoo! than Simon Cowell's talent competition, while The Voice singer Bo Bruce was the most searched-for contestant so far this series.
Bruce beat Got Talent's Ryan O'Shaughnessy this week, who was the most searched-for contestant on that show for the second week running.
Yahoo! omg! editor Julia White said: "As the battle of the Saturday night viewers enters its third week it's clear that newcomer The Voice is gaining more and more ground on Britain's Got Talent.
"Like the viewing figures - which show 4 million more people are watching the BBC One show than Simon Cowell's BGT during the overlap - our search stats show The Voice steaming ahead, with 70% more searches than its ITV rival."
Jessie J remains the top searched-for coach on The Voice, while David Walliams has jumped to top the summit in the battle of the Got Talent judges, a position he held after the first week of the show.
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The full ranking of panellists according toYahoo's search data was as follows (last week's position in brackets):
Britain's Got Talent
1. David Walliams (3)
2. Amanda Holden (1)
3. Simon Cowell (4)
4. Alesha Dixon (2)
1. Jessie J (1)
2. will.i.am (4)
3. Danny O'Donoghue (2)
4. Tom Jones (3)