Spatiotemporal mode-locked (STML) fiber lasers have emerged as a novel platform for investigating spatiotemporal solitons and three-dimensional nonlinear phenomena. In this work, we report the generation of synchronous dual-wavelength STML noise-like square pulses in a few-mode fiber laser, characterized by distinct pulse durations at each wavelength. To further explore the experimental results, numerically simulations are conducted, where the mode-related and wavelength-related characteristics of the dual-wavelength noise-like pulses are revealed. It is found that different modes have distinct transient time-frequency characteristics, and a broader spectrum correlates with a longer duration of the pulse envelop and shorter duration of the sub-pulses. Additionally, the mode components of the pulses at different wavelengths play a supportive role in facilitating the synchronization of the two wavelengths. These findings enhance our understanding of the underlying mechanisms and characteristics of noise-like pulses in STML fiber lasers and exploration their potential applications.