The poll of almost 1000 users of the service, conducted between April 14 and April 17, found that Labour was the most popular party, followed by the Liberal Democrats with 27% of the vote and Conservative with 20%.
Another 8% indicated that they would vote for one of the other parties, while 8% were undecided and 2% would not vote.
The findings are in line with the level of activity of the major parties, Members of Parliament and prospective candidates on Twitter.
Of the 51 MPs on Twitter, 16% are Conservative, compared to Labour's 57% and the Liberal Democrat's 25%.
The survey also revealed that Gordon Brown has the edge over David Cameron in popularity.
Of those polled, 27% indicated that independent of party affiliation they would prefer Brown as PM, 23% indicated Cameron and 16% Nick Clegg. However, 34% said they would prefer someone else.
The majority (78%) said that the party has greater influence than the politician in choosing whom to vote for.
Alberto Nardelli, co-founder of TweetMinster said: "While this poll doesn't aim to be official or scientific, but is intended as an experiment born out of curiosity, the results are rather interesting -- especially how they reflect the level of activity and engagement of the various parties, members of parliament and prospective candidates on Twitter.
"As the use of social media inevitably grows amongst voters, it will be interesting to see their influence and impact on future polls and voting behaviour."
TweetMinster allows people to follow and interact with Members of Parliament through .