Hi nabilabolo, 
Check this example. Now please take its reference and correct your code.
I am typing customerid in textbox and the data based on the customerid is binded in the dropdownlist.
Database
For this example I have used of Northwind database that you can download using the link given below.
Download Northwind Database
Controller
public class HomeController : Controller
{
    // GET: Home
    public ActionResult Index()
    {
        return View();
    }
    [HttpGet]
    public JsonResult GetData(string id)
    {
        NorthwindEntities db = new NorthwindEntities();
        List<SelectListItem> items = new List<SelectListItem>();
        if (!string.IsNullOrEmpty(id))
        {
            List<Order> orders = db.Orders.Where(o => o.CustomerID.Contains(id)).ToList();
            foreach (Order order in orders)
            {
                items.Add(new SelectListItem
                {
                    Value = order.OrderID.ToString(),
                    Text = Convert.ToDecimal(order.Freight).ToString("N2")
                });
            }
        }
        return Json(items, JsonRequestBehavior.AllowGet);
    }
}
View
@{
    Layout = null;
}
<!DOCTYPE html>
<html>
<head>
    <meta name="viewport" content="width=device-width" />
    <title>Index</title>
    <script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
    <link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" />
    <script type="text/javascript">
        $(function () {
            $('#txtId').on('keyup', function () {
                var param = { id: $('#txtId').val() };
                $.getJSON('/Home/GetData', param, function (data) {
                    var ddlFreights = $('#ddlFreights');
                    $(ddlFreights).empty();
                    $(ddlFreights).append('<option value=0>Please Select</option>');
                    for (var i = 0; i < data.length; i++) {
                        $(ddlFreights).append('<option value="' + data[i].Value + '">' + data[i].Text + '</option>');
                    }
                }).fail(function (d) { debugger; });
            });
        });
    </script>
</head>
<body class="container">
    <div class="row">
        <div class="col-sm-6">
            <div class="input-group">
                <input id="txtId" type="text" class="form-control" />
            </div>
        </div>
        <div class="col-sm-6">
            <div class="input-group">
                <select id="ddlFreights" class="form-control"></select>
            </div>
        </div>
    </div>
</body>
</html>
Screenshot
