A presidential government is based on the relationship between the legislative power and the executive.
The presidential system or presidential system is a form of government in which, once a Republic is constituted, the Constitution establishes a division of powers between the executive power, the legislative power, the judiciary, and the head of state, in addition to holding representation formally of the country, is also an active part of the executive power, as Head of Government, thus exercising a dual function, because he has the powers of the Government, being elected directly by the voters and not by Congress or Parliament.
The president is the body that holds the executive power, while the legislative power usually concentrates the congress, without prejudice to the powers that the president has in legislative matters.