It's more common in the US for government to mean all three branches. It seems to be more common in parliamentary countries for government to mean just the legislative branch (and possibly, when present, the monarch's implied consent?).
This is a point of confusion here, because this is a US based discussion site. So US persons say 'the government suppressed the election', Spain persons say 'no, the government didn't do it, the courts did it'.
To the US person objecting, it doesn't make a huge difference if judicial, legislative, or executive is suppressing an election -- suppressing an election is bad. How can a vote be illegal? Certainly the referendum may not be legal, and that should be decided by the courts, but we're not used to that being decided before holding the vote.
But do you have a word for the whole of government in the US sense? I can't think of something that's not awkward.
Edit to add: In the US sense, government also includes military and police. In the US those are mostly part of the executive branch, but may act at the direction of the judicial or legislative branches. In some countries the military is an effectively separate branch of government.