An eyeglass lens processing apparatus comprising: lens rotating means for rotating a lens chuck shaft (102L, 102R) that holds an eyeglass lens; first moving means for moving the lens chuck shaft in a direction of a first axis of the lens chuck shaft; processing tool rotating means (300, 420) for rotating a processing tool rotating shaft (161a, 400a) to which a periphery processing tool that processes a periphery of the lens is attached; and lens shape measuring means for measuring a shape of a refractive surface of the lens held by the lens chuck shaft, the lens shape measuring means including a tracing stylus configured to contact the refractive surface of the lens; second moving means for relatively moving the lens chuck shaft in a direction in which an axis-to-axis distance between the lens chuck shaft and the tracing stylus is changed; and control means for controlling the first and second moving means; wherein the control means controls the first and second moving means to cause the tracing stylus to contact the refractive surface of the lens and thereafter controls the lens rotating means and the second moving means based on a target lens shape and control the lens shape measuring means to measure a shape of the refractive surface of the lens, and obtain the shape of the refractive surface of the lens based on a detection result of the first sensor, characterized in that, the lens shape measuring means includes a holding unit which is configured to hold the tracing stylus and the tracing stylus is configured to be tilted toward the first axis around a second axis perpendicular to the first axis, and a first sensor for detecting tilt of the holding unit, wherein the control means controls the first moving means, during lens shape measurement, so that the moving position of the tracing stylus falls within a predetermined range in the direction of the first axis (X-direction) such that the tracing stylus and the lens maintain a state of contact, the predetermined range being based on curve information of the refractive surface of the lens obtained before starting the measurement by the lens shape measuring means or the measurement result obtained after starting the measurement by the lens shape measuring means. lens rotating means for rotating a lens chuck shaft (102L, 102R) that holds an eyeglass lens; first moving means for moving the lens chuck shaft in a direction of a first axis of the lens chuck shaft; processing tool rotating means (300, 420) for rotating a processing tool rotating shaft (161a, 400a) to which a periphery processing tool that processes a periphery of the lens is attached; and lens shape measuring means for measuring a shape of a refractive surface of the lens held by the lens chuck shaft, the lens shape measuring means including a tracing stylus configured to contact the refractive surface of the lens; second moving means for relatively moving the lens chuck shaft in a direction in which an axis-to-axis distance between the lens chuck shaft and the tracing stylus is changed; and control means for controlling the first and second moving means; wherein the control means controls the first and second moving means to cause the tracing stylus to contact the refractive surface of the lens and thereafter controls the lens rotating means and the second moving means based on a target lens shape and control the lens shape measuring means to measure a shape of the refractive surface of the lens, and obtain the shape of the refractive surface of the lens based on a detection result of the first sensor, characterized in that, the lens shape measuring means includes a holding unit which is configured to hold the tracing stylus and the tracing stylus is configured to be tilted toward the first axis around a second axis perpendicular to the first axis, and a first sensor for detecting tilt of the holding unit, wherein the control means controls the first moving means, during lens shape measurement, so that the moving position of the tracing stylus falls within a predetermined range in the direction of the first axis (X-direction) such that the tracing stylus and the lens maintain a state of contact, the predetermined range being based on curve information of the refractive surface of the lens obtained before starting the measurement by the lens shape measuring means or the measurement result obtained after starting the measurement by the lens shape measuring means.