Looking at the jsFiddle that highcharts provides, they're retrieving their json through their own callback, taking the returned data and feeding it through their new Highcharts.StockChart function.
To use your own json(must be properly formed json, try this to help...), create the structure then do the same exact call to highcharts that they show in their example but replace the data variable with your data variable...
it will work without issue if everything is setup correctly...
if this doesn't help, please post more information on what you're attempting to do (with code) or else we will be going in circles...
Here is a jsFiddle example taking the points you posted in your question and using it to create a simple highcharts graph...