Changes to the distribution list membership could not be saved. You do not have sufficient permissions to perform this operation on this object. dl and user are in same domain &same site I had given full permission to that user to manage dl

What version of Exchange are you using?? If 2010, then see this link: http://sysadmin-talk.org/2010/06/omg-allowing-end-users-to-manage-distribution-group-membership-in-exchange-2010-2/ Tim Harrington - Catapult Systems - http://HowDoUC.blogspot.com

Yes, Here it very much matter what version of Exchange you are using ?. Try to give user full acess in DL group in security and check.Anil