The phrase 'transferring responsibility for' is correct and can be used in written English.
This phrase is often used as a way of indicating a shift of responsibility from one person or group to another. For example, "The company has announced their decision to transfer responsibility for marketing to a new department."
Last week, in response to the mounting costs, Schools Chancellor Harold O. Levy proposed transferring responsibility for construction and renovation from the Board of Education to the School Construction Authority.
NATO is gradually transferring responsibility for security in Afghanistan to the Afghan police and military.
Transferring responsibility for poultry, meat and marketing inspections to an approved external body.
Changes to the role of guards were imposed from Sunday, transferring responsibility for closing doors to drivers.
Given the complexity of transferring responsibility for health care from company hands to the union's, some analysts predict it will be handled in stages.
He reiterated that next July he would begin transferring responsibility for security to Afghans, at a pace to be determined by conditions.
The scale of the latest eruption prompted President Yudhoyono to transfer responsibility for the response from local agencies to the national disaster agency, as well as ordering the addition of more police and soldiers.
The Met has transferred responsibility for the investigation to a different unit.
Hoping to encourage sales, Pfizer has transferred responsibility for promoting Exubera from its pain management division to its cardiovascular division.
None of that helps Western efforts to begin to transfer responsibility for security to Afghans over the next three years.
The law transferred responsibility for thousands of convicts and parolees from the state system to county jurisdictions.
