MySQL duplicate entry error even though there is no duplicate entry

Your code and schema are OK. You probably trying on previous version of table.

http://sqlfiddle.com/#!2/9dc64/1/0

Your table even has no UNIQUE, so that error is impossible on that table.

Backup data from that table, drop it and re-create.

Maybe you tried to run that CREATE TABLE IF NOT EXIST. It was not created, you have old version, but there was no error because of IF NOT EXIST.

You may run SQL like this to see current table structure:

DESCRIBE my_table;

Edit – added later:

Try to run this:

DROP TABLE `my_table`; --make backup - it deletes table

CREATE TABLE `my_table` (
  `number` int(11) NOT NULL,
  `name` varchar(50) NOT NULL,
  `money` int(11) NOT NULL,
  PRIMARY KEY (`number`,`name`),
  UNIQUE (`number`, `name`) --added unique on 2 rows
) ENGINE=MyISAM;