Soliton, which can travel over long distance without attenuation and shape change due to the balance of the interplay between dispersion (or diffraction) and nonlinearity in nonlinear media, becomes a good information carrier in quantum information processing and transmission. Up to now, the study on the optical solitons mainly is focus on ultra-cold atomic electromagnetic induction transparency (EIT) media. This is mainly because ultra-cold atomic systems can generate strong nonlinear effects under low light excitation. However, for the practical application, it is a large challenge to control accurately the optical solitons dynamics in the atomic EIT media due to its low temperature (which approaches to absolute zero) and rarefaction. Fortunately, with the maturity of semiconductor quantum production technology, quantum dots have extensively applying prospect in quantum information processing and transmission. So, in the paper, we study the optical solitons dynamics in a four-level asymmetric array-type three quantum dots EIT medium.Based on the current experiment, we first propose a four-level asymmetric array-type three quantum dots EIT model. Subsequently, by using amplitude variable approach combined with multi-scale method, we study analytically the propagation of a probe pulses in this system. It is shown that when one (the another) inter-dot tunneling coupling is turned on (off), only a single transparency window appears in the center range of the probe field detuning. Only if two inter-dot tunneling couplings are turned on, two transparent windows are distributed on both sides of the central region of the probe field detuning. And the width of the single or two transparent window becomes wider with the increasing strength of the inter-dot tunneling coupling. For the nonlinear case, by choosing appropriate parameters in the area of the transparency window, the stable propagation of soliton can be realized. Interestingly, we find that the strength of the inter-dot tunneling coupling has an important effect on the soliton dynamics behaviors. In the case that one (the another) inter-dot tunneling coupling is turned on (off), with the increasing strength of the inter-dot tunneling coupling, the velocity of the soliton exhibits a trend of first increasing and then decreasing, as well as the amplitude of the soliton appears a increasing trend for ever. For the case that two inter-dot tunneling couplings are turned on, with the increasing strength of the two inter-dot tunneling coupling, the velocity of the soliton emerges a decreasing trend for ever, while the amplitude of the soliton presents a trend of first decreasing and then increasing. Thus, the amplitude modulation effect of optical soliton can be realized in semiconductor quantum dot devices.