Under the non-measuring circuits, it is used the truth table method to propose the concept of two quantum error-correcting circuits and then a circuit which can code and correct one-qubit error、two-qubits error is construeted. This quantum circuit can correct one-qubit error and two-qubits error at the same time, break through the former limit that the circuit can only correct one-qubit error. A coding circuit is recommended to encod auxiliary bits of inputing information and judge the different input-bits quantum states according to different auxiliaries. During the process of designing 7-qubits error correction circuit, a modular thinking is advanced based on the 5-qubits error-correction circuits which can simplify the multi-qubits error-correction circuit design process.