A chamfering machine for both handheld and stationary use includes: a base having two arms extending toward one side; a motor provided on the base and having a driving shaft; a cutter provided on the driving shaft; a cutting seat consisting essentially of first and second panels; a first handle located between the arms and having two ends respectively provided at the arms; a second handle having one end provided at a bottom portion of the base and a body portion extending in a direction opposite the direction in which the arms extend; and at least one fixing element located below and connected to the arms and having a bottom end lower than the bottom end of the base, wherein the bottom end of the at least one fixing element has at least one connecting portion with at least one fixing hole for connecting to a tabletop.