HighCharts – How can I turn off the points?

Here’s an example with a line chart: http://jsfiddle.net/aeZ6P/1/

Important part:

plotOptions: {
    line: {
        marker: {
            enabled: false
        }
    }
}

See also: https://api.highcharts.com/highcharts/plotOptions.line.marker.enabled

Same effect with spline: http://jsfiddle.net/aeZ6P/