The phrase "point of influence" is correct and usable in written English.
You can use it to refer to a particular moment at which an effect is experienced, especially one where a decision or action is taken that has an important outcome. For example, "At the point of influence, I decided to change direction and pursue a new career path."
"Everyone is trying to use every single connection or point of influence they have.
SFMOMA uses Tumblr to engage the artist community specifically by accepting submissions of original work – positioning themselves as a point of influence for artists looking for exposure.
The banks' latest point of influence are clearinghouses like ICE Trust, which holds the monthly meetings with the nine bankers in New York.
The school was then at a high point of influence under Leonard Daniels, attracting so many ex-servicemen that classes often spilled into corridors.
Syria is a main point of influence for Russia in the Middle East, and its very hard-nosed leader is not going to jeopardize his country's self-interest.
"When I was last in this building," he said, referring to his time as an international expert in the Clinton Treasury Department, "I was always thinking, What's our next point of influence, of leverage?" But he could rarely find a good one.
Entrepreneurship is posited to have an important impact on job creation (e.g., Birch, 1987) and this claim became conventional wisdom to the point of influencing policy making (Neumark et al., 2011).
As Don Fowler, a former national chairman, observed, "Our party has so many disparate points of influence that we can never focus enough to achieve our programs".
They also have other points of influence at the UN based on their funding of key UN agencies, including Unicef (pdf) – the body responsible for promoting the adoption of the UN convention of the rights of the child.
With both Jean Baudrillard's America and the work of JG Ballard cited as points of influence, Ben Hayoun's commitment to realism is infused with creativity – and she has a penchant for employing dramatic devices.
There is a real concern that the structures and points of influence will no longer exist or be easy to access when it comes to policy that is wider than the local level.
