To increase cutting machining accuracy by preventing deflection even in the case of a long work.

This band sawing machine cuts a heavy work by moving a sawing machine body 3 forward while traveling a band saw blade BS vertically for the work placed on a main table 19 and a sub table 21. At this time, the sawing machine body 3 passes under the sub table 21, so a support 23 or the like can be installed only on both ends of the sub table 21 in front/rear direction, however, it is possible to perform cutting while always supporting at the periphery of a cutting position in the sub table 21 with a table height holding means 35 fitted on the sawing machine body 3.