using System;

using System.Linq;

using Newtonsoft.Json.Linq;

public class Program

{

    public static void Main()

    {

        string json = "{\n    \"menu\": null,\n    \"id\": 101193,\n    \"value\": [\n        {\n            \"Description\": \"\",\n            \"Properties\": {\n                \"glossary\": null,\n                \"data\": []\n            },\n            \"Acronym\": 0\n        },\n        {\n            \"Description\": \"\",\n            \"Properties\": {\n                \"glossary\": null,\n                \"data\": []\n            },\n            \"Acronym\": 0\n        },\n        {\n            \"Description\": \"\",\n            \"Properties\": {\n                \"glossary\": null,\n                \"data\": []\n            },\n            \"Acronym\": 0\n        }\n       ],\n    \"alignment\": null,\n    \"hOffset\": null,\n    \"vOffset\": false\n}";

​

        var rootObject = JObject.Parse(json);

        var valueRoot = rootObject["value"];

        foreach(var item in valueRoot)

        {

            var attrRoot = (JObject)item["Properties"];

            attrRoot.Property("glossary").Remove();

        }

        Console.WriteLine(rootObject);

    }

}

​