"Cursor" is used to refer to the mouse cursor which does not blink.
So, I assume you are talking about the caret which is used in a text component:
textField.setCaretColor(...);
Edit:
The above suggestion does it for one text field. To change it for all text fields you should be able to use the following at the start of your program:
UIManager.put("TextField.caretForeground", new ColorUIResource(...));
camickr
2010-05-13 06:20:38