The error is telling you that it cant find a a constructor that it can use for the deserialization.

Try adding a default constructor to the class:

public class MyObject
{
    public int? integerValue { get; set; }
    public DateTime? dateTimeValue { get; set; }

    public MyObject(){}
} 

Patrick.

--EDIT--

So I ve just created a simple console app using your MyObject, with and without a default constructor and I m getting no errors. Here is my example:

class Program
{
    static void Main(string[] args)
    {
        var mo = new MyObject { integerValue = null, dateTimeValue = null };
        var ser = Newtonsoft.Json.JsonConvert.SerializeObject(mo);
        var deser = Newtonsoft.Json.JsonConvert.DeserializeObject(ser, typeof(MyObject));
    }
}

public class MyObject
{
    public int? integerValue { get; set; }
    public DateTime? dateTimeValue { get; set; }        
}  

I get no exceptions...

Can you show an example of the JSON that you are trying to deserialize?

The solution for me was to create Converter according to this answer

public class BoolConverter : JsonConverter
{
    public override void WriteJson(JsonWriter writer, object value, JsonSerializer serializer)
    {
        writer.WriteValue(((bool)value) ? 1 : 0);
    }

    public override object ReadJson(JsonReader reader, Type objectType, object existingValue, JsonSerializer serializer)
    {
        if (reader.Value == null || reader.Value.ToString() == "False")
        {
            return false;
        }
        return true;
    }

    public override bool CanConvert(Type objectType)
    {
        return objectType == typeof(bool);
    }
}

And than specify in model

[JsonConverter(typeof(BoolConverter))]
public Boolean bold;

I dont know is it right answer or not, but at least You can create custom converter for Nullable<>, it helps me a lot with DataRow serializing/deserializing it also does not have default constructor. Here is sample

A completed version of the @Patrick answer:

static void Main(string[] args)
{
    var mo = new MyObject ();
    var ser = Newtonsoft.Json.JsonConvert.SerializeObject(mo);
    var myStr = "{}";
    var myStr1 = "{tITi: 10}";
    var myStr2 = "{integerValue: 10}";
    var deser0 = Newtonsoft.Json.JsonConvert.DeserializeObject(ser, typeof(MyObject));
    var deser1 = Newtonsoft.Json.JsonConvert.DeserializeObject(myStr, typeof(MyObject));
    var deser2 = Newtonsoft.Json.JsonConvert.DeserializeObject(myStr1, typeof(MyObject));
    var deser3 = Newtonsoft.Json.JsonConvert.DeserializeObject(myStr2, typeof(MyObject));
}

public class MyObject
{
    public int? integerValue { get; set; }
    public DateTime? dateTimeValue { get; set; }
    public int toto { get; set;  } = 5;
    public int Titi;
}

Output:

?deser0
{ConsoleApplication1.MyObject}
    Titi: 0
    dateTimeValue: null
    integerValue: null
    toto: 5
?deser1
{ConsoleApplication1.MyObject}
    Titi: 0
    dateTimeValue: null
    integerValue: null
    toto: 5
?deser2
{ConsoleApplication1.MyObject}
    Titi: 10
    dateTimeValue: null
    integerValue: null
    toto: 5
?deser3
{ConsoleApplication1.MyObject}
    Titi: 0
    dateTimeValue: null
    integerValue: 10
    toto: 5

Also make sure your properties have public setters in order for deserialization to work.