Quantum secure direct communication (QSDC) breaks the structure of traditional secret communications. It directly sends a secret message through a quantum channel without first preparing the key. But in the actual quantum communication system, the eavesdropper Eve's attack on the device will lead to the leakage of secret information, and this eavesdropping will not be detected. In addition, since the current quantum transmission mode is still based on optical fiber transmission, it is impossible to avoid the influence of noise in the process of optical fiber transmission. Among these noises, collective dephasing noise and collective rotation noise are the most serious. In order to solve these problems, two measurement-device-independent QSDC protocols that can resist collective dephasing noise and collective rotation noise respectively are proposed. The information is transmitted through the measurement of an untrusted third party, which solves the problem of eavesdroppers' attack on measurement device. At the same time, the collective noise is avoided through no decoherence subspace. Through analysis, it is found that the protocol can effectively resist attacks and achieve absolutely secure communication.