A trace data recording system, comprising: a trace data generation unit configured to generate trace data of equipment relating to motor control; a trace data transmission unit configured to transmit the generated trace data to a cloud server that manages information of users via a network when a user operates a predetermined upload operation; a trace data recording unit configured to record the transmitted trace data, a serial number of the equipment, a user ID of the user in the cloud server, the recorded trace data being prohibited to be provided to an analyst; an analysis request reception unit conf igured to receive an analysis request, the serial number, and the user ID from the user at the cloud server; and a provision permission unit included in the cloud server and configured to permit, in a case where the analysis request, the serial number, and the user ID have been received, the trace data registered in the cloud server to be transmitted to the analyst, wherein the trace data recording system is configured such that: (a) when an analysis request operation is performed, an analysis request transmission unit transmits an analysis request to the analysis request reception unit of the cloud server, wherein the analysis request transmission unit transmits information that includes a serial number and a user ID for identifying the trace data specified as the analysis target, and (b) when the analysis request is received at the analysis request reception unit of the cloud server, the provision permission unit permits analysis of the analysis target trace data. a trace data generation unit configured to generate trace data of equipment relating to motor control; a trace data transmission unit configured to transmit the generated trace data to a cloud server that manages information of users via a network when a user operates a predetermined upload operation; a trace data recording unit configured to record the transmitted trace data, a serial number of the equipment, a user ID of the user in the cloud server, the recorded trace data being prohibited to be provided to an analyst; an analysis request reception unit conf igured to receive an analysis request, the serial number, and the user ID from the user at the cloud server; and a provision permission unit included in the cloud server and configured to permit, in a case where the analysis request, the serial number, and the user ID have been received, the trace data registered in the cloud server to be transmitted to the analyst, wherein the trace data recording system is configured such that: (a) when an analysis request operation is performed, an analysis request transmission unit transmits an analysis request to the analysis request reception unit of the cloud server, wherein the analysis request transmission unit transmits information that includes a serial number and a user ID for identifying the trace data specified as the analysis target, and (b) when the analysis request is received at the analysis request reception unit of the cloud server, the provision permission unit permits analysis of the analysis target trace data. (a) when an analysis request operation is performed, an analysis request transmission unit transmits an analysis request to the analysis request reception unit of the cloud server, wherein the analysis request transmission unit transmits information that includes a serial number and a user ID for identifying the trace data specified as the analysis target, and (b) when the analysis request is received at the analysis request reception unit of the cloud server, the provision permission unit permits analysis of the analysis target trace data.