The phrase "adding responsibility for" is correct and usable in written English.
You can use it when discussing the allocation or assignment of duties or obligations to someone or something.
Example: "The new policy is focused on adding responsibility for environmental sustainability to all departments."
Alternatives: "assigning responsibility for" or "imposing responsibility for".
He was chief financial officer and executive vice president of Sears from 1995 to 1997, then president of the credit unit for two years, before adding responsibility for home services, customer responses and Internet business as president of services.
Hadlow took charge of the channel in November 2008, adding responsibility for BBC4 last year.
He ran ITV2 for several years before being promoted to his current role in April last year, adding responsibility for ITV3 and ITV4, along with acquisitions.
Mike Walsh has been appointed to the newly created position of network head of music across the three Xfm regional services, adding responsibility for the London station's music output to his existing remit in Manchester and Scotland.
He is thought to have resisted an attempt by Theresa May to move him to another job in her January 2018 reshuffle and succeeded in adding responsibility for social care - something previously overseen by local government - to his portfolio.
Paul Marobella, president at Havas Discovery, Chicago, was named to a new post, president of the Havas Chicago Group, adding responsibilities for Havas Impact and Palm & Havas while continuing to oversee Havas Discovery.
Mr. Ryan, senior vice president for menu management and new concepts, will retain that post while adding responsibilities for marketing of the nearly 13,000 McDonald's restaurants in the United States.
Last year, after becoming the Director of the Animal Rescue Program, I added responsibility for our Disaster Response and Wildlife Rescue divisions to my work with marine mammals.
In recent years, he also added responsibility for Sky News to his brief.
Mr. Emmerich will add responsibility for Warner's live theater business, which adapts its movies for the stage.
Scott H. Heekin-Canedy, 49, senior vice president for circulation, will add responsibility for the marketing services and systems and technology departments.
