Path loss, shadowing, and fading are the three types of propagation impairment that affect the sent signal in telecommunications systems. The receiver side of the wireless system needs a variety of combining techniques to lessen the effects of fading. The multiple input, multiple output (MIMO) space-time block coding is one of the most effective combining techniques, and it has performed well when compared to the others. In order to assess the effectiveness of the MIMO space-time block coding combining technique over Weibull fading channels, we have examined the effective throughput metric in this letter. Both normal and high signal noise-to-ratio regimes have yielded the presence of an analytical expression of effective throughput. Additionally, to demonstrate its behavior, the effective capacity has been plotted against a number of parameters. The Monte-Carlo simulation method has been used to validate the analytical results, and the accuracy of the results has been demonstrated.