In the late 1440s Johann Gutenberg developed printing by movable type. (Printing using wood blocks and so on was already well known).
Note that printing by movable type was already known in Korea.
He invented the printing press in 1454.
Gutenberg did not invent the printing press, the printing press he used was a modified lithography press that already existed. What he invented was movable type, which greatly sped up the process of setting up the press for printing.