<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <title>LocalStorage如何存储JSON对象</title>
</head>
<body>
<script>
    var obj = {
        name: '徐同保',
        job: 'web前端'
    };
    var objString = JSON.stringify(obj);

    //setItem存储value
    localStorage.setItem("obj", objString);
 
    //getItem获取value
    var objStringNew = localStorage.getItem('obj');
    var objNew = JSON.parse(objString);
    console.log('姓名：' + objNew.name);
    console.log('职业：' + objNew.job);
</script>
</body>
</html>

也可以是数据对象

<!DOCTYPE html>
<html lang="en">

<head>
    <meta charset="UTF-8">
    <title>LocalStorage如何存储JSON对象</title>
</head>

<body>
    <script>
    var obj = [{
            name: '徐同保',
            job: 'web前端'
        },
        {
            name: '徐同保s',
            job: 'web前端s'
        }
    ];
    var objString = JSON.stringify(obj);

    //setItem存储value
    localStorage.setItem("obj", objString);

    //getItem获取value
    var objStringNew = localStorage.getItem('obj');
    var objNew = JSON.parse(objString);
    for (var i = 0; i < objNew.length; i++) {
        console.log('姓名：' + objNew[i].name);
        console.log('职业：' + objNew[i].job);        
    }

    </script>
</body>

</html>