In the below code snippet we are going to Delete multiple list items (which returned from a CAML query) from a sharepoint list using
Object modeling.
Assumptions:: 
listItemFieldID  --> List item ID internal field
listItemFieldName --> List item field which you will be querying.
 listItemName --> value of the field
Code:: 
SPSite ospSite = null;
           
SPWeb ospWeb = null;
           
SPList ospList = null;
           
SPListItemCollection spListItems = null;
           
string camlViewQuery = string.Empty,
                          
camlFilterQuery = string.Empty,
                          
listItemFieldID = "ID";
               
//view fields query depends on your requirement
               
camlViewQuery = "<FieldRef Name='"
+ listItemFieldID + "' /><FieldRef
Name='" + listItemFieldName + "'
/>";
               
//filter query depends on your requirement
               
camlFilterQuery = "<Where><Eq><FieldRef
Name='" + listItemFieldName + "'/><Value
Type='Lookup'>" + listItemName + "</Value></Eq></Where>";
               
using (ospSite = new
SPSite(siteUrl))
               
{
                   
using (ospWeb = ospSite.OpenWeb())
                   
{
                       
try
        
               {
                           
ospWeb.AllowUnsafeUpdates = true;
                           
ospList = ospWeb.Lists.TryGetList(listName);
                           
if (ospList != null
&& ospList.ItemCount > 0)
                           
{
                               
SPQuery query = new
SPQuery()
                               
{
                                   
//query the list.
                                   
Query = camlFilterQuery,
                                   
ViewFields = camlViewQuery,
                                   
ViewFieldsOnly = true,
                               
};
                               
spListItems = ospList.GetItems(query);
                               
if (spListItems!= null)
                               
{
                                   
foreach (SPListItem
listItem in spListItems)
                                   
{
                                       
ospList.Items.GetItemById(Convert.ToInt32(listItem["ID"])).Delete();
                                   
}
                                }
                               
ospList.Update();
                               
ospWeb.Update();
                               
ospWeb.AllowUnsafeUpdates = false;
                           
}
                       
}
                       
catch (Exception
ex)
                       
{
                       
}
                   
}
               
}
 Hope this helps..