Abstract: In a fluid abrasive machining method for abrasively machining a fine pore on a work (5) to be machined by supplying a slurry (7) which is an abrasive machining fluid from a supplying device (2) to the work to be machined comprising steps of: supplying the slurry to the work to be machined from the supplying device; measuring a first pressure (P1) upstream in a discharge side of the supplying device; measuring a second pressure (P2) downstream of a measuring point of the first pressure (P1) and at an upstream side of the work to be machined; calculating a pressure difference (dp) between the first pressure and the second pressure; and terminating a machining operation when the pressure difference dp reaches a specific value. A fluid abrasive machining apparatus (100) which can perform the above-mentioned fluid abrasive machining method is provided.