MySQL UPDATE syntax with multiple tables using WHERE clause

You can try this:

UPDATE TABLE1
SET column_name = TABLE2.column_name
FROM TABLE1, TABLE2
WHERE TABLE1.id = TABLE2.id

here's the correct syntax of UPDATE with join in MySQL

UPDATE  table1 a
        INNER JOIN table2 b
            ON a.ID = b.ID
SET     a.value = b.value 
  • SQLFiddle Demo

EDIT For MySql it'll be

UPDATE table1 t1 INNER JOIN 
       table2 t2 ON t2.id = t1.id
   SET t1.value = t2.value 

sqlfiddle

Original answer was for SQL Server

UPDATE table1
   SET table1.value = table2.value 
  FROM table1 INNER JOIN 
       table2 ON table2.id=table1.id

sqlfiddle