Ferroelectric nanotubes have potential application in inkjet printing and drug delivery due to their piezoelectric property and unique geometry. For different applications, different electrical boundary conditions are applied to ferroelectric nanotubes. In the present work, domain structures in ferroelectric nanotubes (FNTs) under different electrical boundary conditions are predicted through a phase field model. Simulation results show that domain structures are highly dependent on the compensation of polarization-induced surface charges.