INSERT INTO TARGET_TABLE SELECT * FROM SOURCE_TABLE;
EDIT:of als de tabellen verschillende structuren hebben, kun je ook:
INSERT INTO TARGET_TABLE (`col1`,`col2`) SELECT `col1`,`col2` FROM SOURCE_TABLE;
EDIT:om dit te beperken..
INSERT INTO TARGET_TABLE (`col1_`,`col2_`) SELECT `col1`,`col2` FROM SOURCE_TABLE WHERE `foo`=1