Stop Cozy Relationships with Big Oil Act of 2010

Stop Cozy Relationships with Big Oil Act of 2010 - Prohibits an employee of the Minerals Management Service (Service) of the Department of the Interior, or a successor agency, from: (1) knowingly accepting a gift from an entity engaged in the business of mineral mining; (2) owning stock or any other interest in an entity engaged in the business of mineral mining during such employee's employment by the Service; (3) being employed (outside employment) by an entity engaged in the business of mineral mining during such employee's employment in the Service; or (4) working for an entity engaged in the business of mineral mining during the two-year period beginning on the date of termination of employment by the Service.

Requires financial disclosure by employees of the Service in positions equivalent to GS-13 or higher.

Prescribes criminal penalties for violations of these prohibitions.

Amends federal criminal law to subject to fine or imprisonment any officer, employee, or agent of the Service who knowingly and willfully makes a materially false, fictitious, or fraudulent statement or representation in the conduct of activities relating to oil and gas regulation.