The actress's representative Marcel Pariseau claimed that the quotes in the article were not true and no interview was ever granted to the publication.
"The quotes attributed to Scarlett Johansson regarding her marriage in the UK edition of Cosmopolitan are wholly fabricated," he told PerezHilton.
"Ms Johansson has at no point granted UK Cosmopolitan an interview, and she has never discussed her personal relationships with the publication."
The interview featured Johansson discussing her romance and subsequent marriage with actor Ryan Reynolds.
Pariseau commented: "Ms Johansson states the following when asked about her relationship: 'I hate feeling like I have to share my personal life with anybody. So I'll take the normal celebrity route and just say I'm going to keep my personal life private.'"
He added: "The cover story is an obvious attempt by UK Cosmopolitan to gain monetarily by misinforming their readers."
In a statement, Cosmopolitan said: "[We] printed an interview with Scarlett Johansson that included quotes from an agency journalist regarding the actress's marriage.
"We ran these quotes in good faith with the understanding that the interview was carried out with the approval of Ms Johansson and her publicist.
"UK Cosmopolitan is taking the complaints by Ms Johansson's publicist seriously and is investigating the matter further."