  As one of the detection targets of all gravitational wave detectors at
present, stochastic gravitational wave background (SGWB) provides us an
important way to understand the evolution of our universe. In this paper, we
explore the feasibility of detecting the SGWB generated by the loops, which
arose throughout the cosmological evolution of the cosmic string network, by
individual space detectors (e.g.~LISA, TAIJI) and joint space detectors
(LISA-TAIJI). For joint detectors, we choose three different configurations of
TAIJI (e.g.~TAIJIm, TAIJIp, TAIJIc) to form the LISA-TAIJI networks. And we
investigate the performance of them to detect the SGWB. Though comparing the
power-law sensitivity (PLS) curves of individual space detectors and joint
detectors with energy density spectrum of SGWB. We find that LISA-TAIJIc has
the best sensitivity for detecting the SGWB from cosmic string loops and is
promising to further constrains the tension of cosmic sting $G\mu=O(10^{-17})$.
