  We present a new (1+3)-brane solution to Einstein equations in (1+5)-space.
As distinct from previous models this solution is free of singularities in the
full 6-dimensional space-time. The gravitational potential transverse to the
brane is an increasing (but not exponentially) function and asymptotically
approaches a finite value. The solution localizes the zero modes of all kinds
of matter fields and Newtonian gravity on the brane. An essential feature of
the model is that different kind of matter fields have different localization
radii.
