Migration Watch UK said Commonwealth immigrants who have not qualified for British citizenship could "significantly influence" the next General Election if voting is close.
Chairman Sir Andrew Green said:
One example is that a student visitor from a Commonwealth country planning to study for six months would be allowed to enrol on the electoral register and vote in a parliamentary election if one was held during the duration of his or her stay.
This is clearly absurd. The issue is one of basic fairness.
If people want to participate in deciding the future of our country they should at least become citizens.
More top news
The tin needed for a Mary Berry dish and the rules of mouse racing were among questions council call centres dealt with in the past year.
Scientists believe they have invented an ice cream that will melt slower in the sun.
There were shocks, tears and skimpy outfits at the star-studded MTV Video Music Awards in LA.