In order to clarify the effects of ink viscosity and electric field on the characteristics of an electrostatic ink jet printer, a numerical simulation of ink behavior in an electrostatic field was conducted in the present study. To reduce the effects of initial shape of ink free surface the structure to hold ink in a tiny cylindrical hole was adopted, and the validity of it was examined. As a result, it was clarified that the structure reduced the effects of initial shape of free surface on the time for ink to be transported onto a paper. Especially when a high voltage was charged, the ink transportation time was almost constant under wide range of ink viscosity. These results showed us that the ink holder played a good role on stable ink transportation, which gave us a high possibility to develop a new electrostatic ink jet printer.