Undoped and Ce-doped Lu3Al5O12 (LuAG) and Y3Al5O12 (YAG) single crystal fibers were grown by the micro-pulling down technique (μ-PD) with a purpose to fit the design of new dual-readout calorimeter planned to operate in future experiences of high energy physics. Fibers up to 20 cm in length and 1 mm in diameter were grown along 111 direction. Based on the measurements of the attenuation length along the fibers, the growth conditions to improve the fibers quality were selected. Our results showed that the grown fibers have the capability to be used for future detectors. •Ce-doped YAG and LuAG were grown by μ-PD technique.•The Ce segregation is more strong in LuAG than YAG.•Light propagation losses correspond to self-absorption and reflection losses in the fibers.