The new mum, who has not be named went into labour while on board. The flight had to land in Anchorage, Alaska, so the woman could get medical treatment and be sent to a hospital.
It is claimed the mum wanted her child to be born in the US so they would qualify for automatic citizenship.
Minister of Transport and Communications Chen Jian-yu (the government owns most of the airlines in China) said the diversion and extra costs incurred came to more than £21,000 and the company wants her to pay it back.
The poor woman was deported and returned to Taiwan while her baby is in the care of a friend in the US.