The order, made under the Planning Act 2008, which covers nationally significant infrastructure projects, allows developer Eggborough Power to build the 2,500MW plant, along with a gas supply pipeline to connect it to the national gas transmission system.
In his decision letter, which backed the conclusions of a planning inspector, the secretary of state said there was a "compelling case for granting consent".
He said: "Given the national need for the proposed development, as set out in the relevant national policy statements…the secretary of state does not believe that this is outweighed by the development’s potential adverse local impacts, as mitigated by the proposed terms of the order."
Clark said he was satisfied the power plant had made adequate provision for carbon capture technology to be used at the plant, to reduce its environmental impact.
In addition, he said the applicant had properly explored the potential for combined heat and power technology as required under national policy. An assessment by the applicant had concluded that the provision of such technology was not viable.
He concluded that there are no reasons to believe an environmental permit to operate the plant would not be granted in due course.
The decision also approved compulsory acquisition powers to enable the securing of land to install the gas pipeline.
According to the developers, the new power station would have a gross output capacity of up to 2,500 megawatts and be capable of supplying the electricity needs of around two million homes.