Hi AliYilmaz,
Please refer below code which satisfiy your requirement
HTML
<div>
    <asp:DropDownList runat="server" AutoPostBack="true" OnSelectedIndexChanged="OnChange"
        ID="ddlCategory">
        <asp:ListItem Text="Select" />
        <asp:ListItem Text="UrunAd 1" />
        <asp:ListItem Text="UrunAd 2" />
        <asp:ListItem Text="UrunAd 3" />
        <asp:ListItem Text="UrunAd 4" />
    </asp:DropDownList>
    <br />
    <br />
    <asp:GridView ID="example" AutoGenerateColumns="false" DataKeyNames="ID" runat="server"
        ClientIDMode="Static" OnRowDataBound="example_RowDataBound">
        <Columns>
            <asp:TemplateField HeaderText="Ürün Seç" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:CheckBox ID="chcsec" CssClass="form-control" runat="server" AutoPostBack="true"
                        OnCheckedChanged="chcsec_CheckedChanged" />
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Ürün Ad" ItemStyle-Width="100">
                <ItemTemplate>
                    <asp:Label ID="lblUrun" runat="server" Text='<%# Eval("UrunAd") %>'></asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Stok" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:Label ID="lblStok" Style="padding: 3px 5px;" runat="server" Text='<%# Eval("Stok") %>'></asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Fiyat" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:Label ID="txtfiyat" Style="padding: 3px 5px;" CssClass="form-control" runat="server">500</asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Adet" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:Label ID="txtAdet" Style="padding: 3px 5px;" CssClass="form-control" runat="server"></asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Eleman Seç" ItemStyle-Width="100">
                <ItemTemplate>
                    <asp:DropDownList ID="drpEleman" CssClass="form-control" runat="server">
                    </asp:DropDownList>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Eleman Adet" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:Label ID="txtElemanAdet" Style="padding: 3px 5px;" CssClass="form-control" runat="server"></asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:TemplateField HeaderText="Eleman Fiyat" ItemStyle-Width="50">
                <ItemTemplate>
                    <asp:Label ID="txtElemanFiyat" Style="padding: 3px 5px;" CssClass="form-control"
                        runat="server"></asp:Label>
                </ItemTemplate>
            </asp:TemplateField>
            <asp:CommandField ButtonType="Link" ShowEditButton="true" ShowDeleteButton="true"
                ItemStyle-Width="150" />
        </Columns>
    </asp:GridView>
    <br />
    <asp:GridView runat="server" ID="gvSiparis" />
</div>
C#
protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        BindGrid("");
    }
}
private void BindGrid(string category)
{
    DataTable dt = new DataTable();
    dt.Columns.AddRange(new DataColumn[] { new DataColumn("ID", typeof(int)), new DataColumn("UrunAd"), new DataColumn("Stok", typeof(int)) });
    dt.Rows.Add(1, "UrunAd 1", 10);
    dt.Rows.Add(2, "UrunAd 2", 15);
    dt.Rows.Add(3, "UrunAd 3", 8);
    dt.Rows.Add(4, "UrunAd 4", 2);
    dt.Rows.Add(5, "UrunAd 3", 6);
    dt.Rows.Add(6, "UrunAd 2", 9);
    dt.Rows.Add(7, "UrunAd 1", 1);
    dt.Rows.Add(8, "UrunAd 4", 18);
    dt.Rows.Add(9, "UrunAd 4", 14);
    if (string.IsNullOrEmpty(category))
    {
        example.DataSource = dt;
    }
    else
    {
        string expression = "UrunAd = '" + category + "'";
        dt.DefaultView.RowFilter = expression;
        example.DataSource = dt;
    }
    example.DataBind();
}
protected void chcsec_CheckedChanged(object sender, EventArgs e)
{
    if ((sender as CheckBox).Checked)
    {
        if (ViewState["CheckedRow"] == null)
        {
            DataTable dt = CheckedData();
            ViewState["CheckedRow"] = dt;
        }
        else
        {
            DataTable previousCheckedRows = ViewState["CheckedRow"] as DataTable;
            DataTable dtCurrentCheckedRows = CheckedData();
            dtCurrentCheckedRows.Merge(previousCheckedRows);
            ViewState["CheckedRow"] = dtCurrentCheckedRows;
        }
    }
    else
    {
        GridViewRow row = ((sender as CheckBox).NamingContainer as GridViewRow);
        Label lblUrun = (row.FindControl("lblUrun") as Label);
        Label lblStok = (row.FindControl("lblStok") as Label);
        DataTable deleteRow = (ViewState["CheckedRow"] as DataTable).DefaultView.ToTable(true);
        DataRow[] dr = deleteRow.Select("UrunAd = '" + lblUrun.Text + "' AND Stok = '" + lblStok.Text + "'");
        foreach (DataRow d in dr)
        {
            deleteRow.Rows.Remove(d);
        }
        ViewState["CheckedRow"] = deleteRow;
    }
    gvSiparis.DataSource = (ViewState["CheckedRow"] as DataTable).DefaultView.ToTable(true);
    gvSiparis.DataBind();
}
private DataTable CheckedData()
{
    DataTable dt = new DataTable();
    dt.Columns.AddRange(new DataColumn[] { new DataColumn("UrunAd"), new DataColumn("Stok", typeof(int)), new DataColumn("Pozisyon") });
    foreach (GridViewRow rw in example.Rows)
    {
        if (rw.RowType == DataControlRowType.DataRow)
        {
            CheckBox chk = (CheckBox)rw.Cells[0].FindControl("chcsec");
            Label lb = (Label)rw.Cells[1].FindControl("lblUrun");
            Label lb1 = (Label)rw.Cells[2].FindControl("lblStok");
            DropDownList drpEleman = (DropDownList)rw.Cells[5].FindControl("drpEleman");
            if (chk.Checked)
            {
                dt.Rows.Add(lb.Text, lb1.Text, drpEleman.SelectedItem.Value);
            }
        }
    }
    return dt;
}
protected void OnChange(object sender, EventArgs e)
{
    BindGrid(ddlCategory.SelectedItem.Text.Trim());
}
protected void example_RowDataBound(object sender, GridViewRowEventArgs e)
{
    //Your DataBase Table Bind to DataTable here.
    DataTable dropdownBindTable = new DataTable();
    dropdownBindTable.Columns.AddRange(new DataColumn[] { new DataColumn("Pozisyon"), new DataColumn("ID") });
    dropdownBindTable.Rows.Add("Pozisyon1", 1);
    dropdownBindTable.Rows.Add("Pozisyon2", 2);
    dropdownBindTable.Rows.Add("Pozisyon3", 3);
    dropdownBindTable.Rows.Add("Pozisyon4", 4);
    dropdownBindTable.Rows.Add("Pozisyon5", 5);
    if (e.Row.RowType == DataControlRowType.DataRow)
    {  
        //You need to bind dropdownlist once and it will apply to all rows dropdownlist.
        DropDownList drpEleman = (e.Row.FindControl("drpEleman") as DropDownList);
        drpEleman.DataSource = dropdownBindTable;
        drpEleman.DataTextField = "Pozisyon";
        drpEleman.DataValueField = "ID";
        drpEleman.DataBind();
        drpEleman.Items.Insert(0, new ListItem("Please Select", ""));
    }
}
ScreenShot
