UPDATE
use enableMouseTracking: Boolean
Notice enableMouseTracking: Boolean was introduced after this question was asked
Old Answer
I just Disabled the heights point in the Tokyo series
here is your code
tooltip: {
formatter: function() {
if(this.series.name == 'Tokyo' && this.y == 26.5 ){
return false ;
// to disable the tooltip at a point return false
}else {
return '<b>'+ this.series.name +'</b><br/>'+
this.x +': '+ this.y +'°C';
}
}
}
jsfiddle