The plan from the Fabian Society is designed to pay down the deficit, and avoid the need for further public spending cuts.
Long-term UK residents with a net wealth of over £10m would be captured by the charge, with those whose wealth exceeds more than £20m subject to a higher charge.
In addition, “high risk” tax payers, such as non-doms and people who have historically used aggressive tax avoidance, would in future be expected to undergo more rigorous assessments.
Jarvis, who backed Andy Burnham in Labour's leadership contest, said: “The British public expect Labour to be a safe pair of hands with their money.
“Specifically, they expect the deficit to be reduced over the medium term – but for us to do so in a fair way. This is why the idea of a unique contribution is worthy of consideration – it opens up the possibility of a one-off response to a once in a lifetime financial crisis.”
Fabian Society general secretary Andrew Harrop added: “The ‘unique contribution’ is a pragmatic measure that can be used to reduce the deficit and build up resilience to future economic shocks.
“But it conveys radical intent by taking a share of the huge financial rewards the super-rich are able to generate, not from hard work but from returns on their passive wealth.”