I have a column "ID" in a table, and I need to move that to another table in the same database. How do I do this?

Create ID column in second table
and run a update query on second table with joining both the tables,so all values in ID column will be update in second table properly
come back and drop column in the first table

Sorry how do you update only one column?

If you want to 'move' a column from one table to another table, both the tables should have a common column to link these 2 tables. First, as Vermadba has mentioned, you have to create a column called "id" in table_2 first. Then, update the second table's "id" column using joins.
For example,
This will update table_2's id column with id values of table_1.
Then delete the column "id" from table_1.
Cheers,
Nav