How to update column with null value

No special syntax:

CREATE TABLE your_table (some_id int, your_column varchar(100));

INSERT INTO your_table VALUES (1, 'Hello');

UPDATE your_table
SET    your_column = NULL
WHERE  some_id = 1;

SELECT * FROM your_table WHERE your_column IS NULL;
+---------+-------------+
| some_id | your_column |
+---------+-------------+
|       1 | NULL        |
+---------+-------------+
1 row in set (0.00 sec)