  We define general Lie tori which generalize original Lie tori. We show that a
Naoi torus is a general Lie torus. We give examples and prove several
properties of general Lie tori. We also review isotopies of Lie tori, and prove
that a general Lie torus is, in fact, isotopic to an original Lie torus.
Finally, we suggest a very simple way of defining a Lie torus corresponding to
a locally extended affine root system R, which we call a Lie R-torus.
