The ability for the government to censor the press is the oppression of free speech. The public has a right to know what is happening regardless of whether or not it may be properly researched (aka. Fox news propaganda). Military force is excessive for the media, they are holding microphones and recorders and pencils, not guns.
No, the government doesn't have the right to censor the press with military force because free speech should be a staple of all nations in the world. Freedom of speech helps prevent government leaders from acting out against the will wishes of a nation's citizens. Free speech is essential to ensuring that the people of a nation are able to express themselves freely.
Military force shouldn't be used to censor the press. In extreme cases if there's the government should be able to ask the press to hold back information or release it later, but for purely political purposes i.e. to prevent criticism of government officials, military force is unacceptable. News shouldn't be determined by the ruling regime.
Freedom of the press prohibits the government from strong arming the press into releasing what they deem appropriate. The public would stay in the dark on sensitive issues if the press was censored. We need responsible conscientious reporters to get to the truth. This keeps officials and the government honest.