To provide a gas bearing spindle using graphite for a bearing sleeve capable of easily securing a bearing clearance even in the case when a rotation axis rotates at high speed, carrying out high precision work of graphite and with less possibility of damaging it.

The bearing sleeve 3 is constituted of a graphite made inside cylinder member 33 and a metallic outside cylinder member 34 externally fitted on the inside cylinder member 33 with a specified interference and a liner expansion coefficient of which is larger than graphite on the gas bearing spindle supporting the bearing sleeve 3 fitted in an outer diametrical surface of the rotation axis 1 with a clearance 11 for a gas bearing in between on a housing 2 through an elastic member (0 ring 41-44).