NB - You need to do this first on a test copy of your table!
When I did it, I found that unless I also included AND n1.id <> n2.id, it deleted every row in the table.
1) If you want to keep the row with the lowest id value:
DELETE n1 FROM names n1, names n2 WHERE n1.id > n2.id AND n1.name = n2.name
2) If you want to keep the row with the highest id value:
DELETE n1 FROM names n1, names n2 WHERE n1.id < n2.id AND n1.name = n2.name
I used this method in MySQL 5.1
Not sure about other versions.
Update: Since people Googling for removing duplicates end up here
Although the OP's question is about DELETE, please be advised that using INSERT and DISTINCT is much faster. For a database with 8 million rows, the below query took 13 minutes, while using DELETE, it took more than 2 hours and yet didn't complete.
INSERT INTO tempTableName(cellId,attributeId,entityRowId,value) SELECT DISTINCT cellId,attributeId,entityRowId,value FROM tableName;
Reference:
http://stackoverflow.com/questions/4685173/delete-all-duplicate-rows-except-for-one-in-mysql
Additional information
DELETE t1 FROM tTable t1, tTable t2 WHERE t1.fieldName = t2.fieldName AND t1.id > t2.id
ELSE
create another table as below
CREATE TABLE myTable_new (ID INT PRIMARY KEY, Title varchar(20))
and add values as
INSERT INTO myTable_new (ID, Title) SELECT ID, DISTINCT Title FROM old_table
considering old_table is the earlier table...
source: http://stackoverflow.com/questions/9452320/remove-duplicate-records-except-one-record