The authors report the fabrication of freestanding field-electron emitters based on arrays of vertically aligned carbon nanotubes (VACNTs) and flexible polydimethylsiloxane (PDMS). Transplant of VACNT arrays from silicon substrates to flexible PDMS platforms through a press-and-curing process resulted in PDMS-supported VACNT-array electron emitters. Test of field-electron emission from the PDMS-supported VACNT columns in a diode configuration showed good field-emission results regardless of cathode geometry, either planar or convex shape cathodes. Furthermore, the repeated bending of the PDMS-supported VACNT-column cathodes up to a few hundred times showed no noticeable degradation in field emission. Numerical simulations of electric field distribution at various bending angles and anode-cathode distance show that the general trend in emission-current variations is consistent with the difference in maximum electric field strength at the cathode surface.