  By using Meng's idea in his generalization of the classical MICZ-Kepler
problem, we obtained the equations of motion of a charged particle in the field
of generalized Dirac monopole in odd dimensional Euclidean spaces. The main
result is that for every particle trajectory $\mathbf{r}: I\to\mathbb{R}^{2k+1}
\setminus \{0\}$, there is a 2-dimensional cone with vertex at the origin on
which $\mathbf{r}$ is a~geodesic.
