Active directory is a directory service provider, where you can add new user to a directory, remove or modify, specify privilages, assign policy etc. Its just like a phone directory where every person have a unique contact number. Every thing in AD(Active Directory) are considered as Objects and every object is given a Unique ID.(similar to a unique contact number in a phone directory.
Ldap is a protocol specially designed for directory service providers. Windows server OS uses AD as a directory server, AIX which is a UNIX version by IBM uses Tivoli directory server. Both of them uses LDAP protocol for interacting with directory.
Apart from protocol there are LDAP servers, LDAP browsers too.