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The cosmic string contributes to our understanding and revelation of thefundamental structure and evolutionary patterns of the universe, unifying ourknowledge of the cosmos and unveiling new physical laws and phenomena.Therefore, we anticipate the detection of Stochastic Gravitational WaveBackground (SGWB) signals generated by cosmic strings in space-based detectors.We have analyzed the detection capabilities of individual space-baseddetectors, Lisa and Taiji, as well as the joint space-based detector network,Lisa-Taiji, for SGWB signals produced by cosmic strings, taking into accountother astronomical noise sources. The results indicate that the Lisa-Taijinetwork exhibits superior capabilities in detecting SGWB signals generated bycosmic strings and can provide strong evidence. The Lisa-Taiji network canachieve an uncertainty estimation of $\Delta G\mu/G\mu<0.5$ for cosmic stringtension $G\mu\sim4\times10^{-17}$, and can provide evidence for the presence ofSGWB signals generated by cosmic strings at $G\mu\sim10^{-17}$, and strongevidence at $G\mu\sim10^{-16}$. Even in the presence of only SGWB signals, itcan achieve a relative uncertainty of $\Delta G\mu/G\mu<0.5$ for cosmic stringtension $G\mu<10^{-18}$, and provide strong evidence at $G\mu\sim10^{-17}$.

The ability of Lisa, Taiji, and their networks to detect the stochastic gravitational wave background generated by Cosmic Strings