The phrase "assume responsibility over" is correct and usable in written English.
It can be used when indicating that someone is taking charge or control of a particular task, duty, or situation.
Example: "As the project manager, I will assume responsibility over the team's performance and deliverables."
Alternatives: "take responsibility for" or "bear responsibility for".
"You have shown to the world through your activism, discipline and engagement that we are ready to assume responsibility over our own future," he told supporters.
In 1919, the legislature passed the Aldrich Act; combined with the approval of the Bond Issue Act during an election that April, the MSHD was authorized to assume responsibility over the roadways that composed the State Trunkline Highway System.
Yet Congress, while it assumed control over Puerto Rico's economy and while its financial oversight board sought to impose some of the failed austerity measures used in Kansas and Greece, has simultaneously refused to assume responsibility over the economic woes afflicting its territory.
States have large responsibilities over their economies.
Online video platform provider Brightcove announced earlier this morning that it has appointed David Mendels as its new President and COO, assuming responsibility over driving Brightcove's global expansion strategy and operations.
The city council condemned the fasting violation, but assumed responsibility over ecclesiastical matters and requested the religious authorities clarify the issue.
At the end of August, Liberty Mutual, which is the bonding company for N. Picco & Sons, agreed to assume responsibility to take over the unfinished work.
Patient factors are the degree to which patients assume responsibility and control over their diabetes.
Ambiguity persists over delineating national search and rescue zones in the sea, and recent disputes between Italy and Malta over who should assume responsibility for incoming migrants have led to people being left at sea while the legal process is thrashed out.
Lynn said they were no longer relating to each other as equals, but she now had to assume responsibility for him as a parent over a child.
When patients were unable to assume responsibility for their actions, the staff could take over.
