When the Governor of a State reports that the government of the State cannot be carried on in accordance with the provisions of the Constitution, President's Rule may be imposed under:

Article 356 of the Constitution deals with failure of constitutional machinery in a State. If the President, on a report from the Governor of the State or otherwise, is satisfied that the government of the State cannot be carried on in accordance with the Constitution, he may by proclamation assume its functions. The proclamation requires Parliamentary approval within two months and normally lasts six months, extendable up to three years. Article 352 applies to national emergency on grounds of war, external aggression or armed rebellion, Art 360 to financial emergency, and Art 365 provides that failure to comply with Union directions can itself be a ground for President's Rule under Art 356. The reporting condition in the question is squarely Art 356.