John Swinney has urged the UK government to cover National Insurance increases for Scottish charities, GPs, social care providers and universities.
The first minister said the tax increase announced in the autumn Budget had caused "alarm across the country".
His request is in addition to the £500m the Scottish government estimated it would cost to offset extra staff costs for public sector employers.
The Treasury has pledged to provide extra funds to help devolved administrations deal with the public sector costs, and says its tax regime for charities is "among the most generous of anywhere in the world".