The meeting in London was requested by Isle of Man chief minister Tony Brown following public comments by Chancellor Alistair Darling about the need to take a “long, hard look” at the relationship.
Brown says: “Our meeting with the Lord Chancellor was most positive. I am pleased that we have received assurances that the UK has no plans to examine the constitutional relationship between us, a relationship which remains robust and is clearly defined by a framework signed between our two governments in 2007.
Straw heads the Ministry of Justice which oversees communication between the Government and the British Crown Dependencies.
Brown says the Government has recognised that the Isle of Man has sought greater transparency and fairness in cross-border financial transactions through the signing of the Tax Information Exchange Agreements with the UK last month.
Brown also says the two governments had “helpful discussions” regarding Kaupthing Singer Friedlander IOM.