Spherically symmetric, vacuum solutions in five- and seven-dimensional Kalu
za-Klein theory are obtained. These solutions are Bur tubes with constant c
ross sectional size, located between (+) and (-) Kaluzn-Klein 'electrical'
and 'magnetic' charges disposed, respectively, at r = +/-infinity and fille
d with constant Kaluza-Klein 'electrical' and 'magnetic' fields. These obje
cts are surprisingly similar to the flux tubes which form between two monop
oles in type II superconductors and also the hypothesized colour field flux
tube that is thought to form between two quarks in the QCD vacuum.