Is it a GFCI protected outlet? If it is, then check and reset the GFCI. It's common, for one GFCI outlet, to control several, usually in the kitchen or bath areas.
Is there a breaker tripped? If so reset the breaker and try again.
*If it's new, then the dealer should handle it under warranty.*
If it's used, then turn the power off, remove the cover, unscrew the screws holding the plug in the box , and make sure all the wires are connected.
If that looks fine, then flip the power on(do I need to include a cautionary comment here?). Using a Tic Tester check to see if there is power on the wires where they connect to the outlet backside.
The tic tester will make a tone or beeping, if there is power there. Usually the beeping will be from contact with the black wire, but check all of them. If there is power there, but the the plug still isn't working, then replace the plugin. If not, then you have to trace the wires back to the next connection, be it at the breaker panel, or, if this plug is on the same circuit as one or two others, find the one it draws power from(think of up stream and downstream here, and check the next closest outlet in the kitchen to this one). Simply trace things back, until you find the problem.