To expand on Larry's reply:
It explicitly depends on what you are looking at.
If you have a load which is designed to consume constant power, then as voltage goes up current goes down. Examples of such loads are wide range lighting drivers, which consume constant power from say 100V to 277V, or spinning motors over their design voltage range.
If you are designing a power distribution system to deliver a certain amount of power, then as voltage goes up current goes down.
In both of these situations power is the constant and voltage and current are inversely related. In both of these situations the load impedance (resistance) is changing.
But in many situations power is _not_ constant, and instead it is the load impedance (resistance) that is constant. The prime example of this is a resistance heater. If you increase the voltage applied to a heater then the current goes up. When resistance is constant, current is directly related to voltage and power changes as the square of the voltage.
Motors are more complex beasties, with characteristics that change with rotor speed.
Jon