How to directly measure the concurrence of two-qubit pure states without quantum state tomography is studied. A quantum circuit is designed which can encode the concurrence of a general two-qubit pure state into the probability of obtaining some specific states at the detection stage. Here, two copies of the initial state are needed in each measurement round and several operations, such as σz operation, simple qubit rotation R and parity-check measurement (PCM), are carried out on them. An optical implementation scheme for the direct measurement of the concurrence for polarization entangled pure state is proposed. Only one PCM for coupling two qubits is needed, which greatly reduces the complexity of the scheme. In addition, this scheme can directly measure the concurrence of remote entanglement.