The diversity-multiplexing tradeoff (DMT) provides a fundamental performance metric for different multiple-input multiple-output (MIMO) schemes in wireless communications. In this paper, we explore the block fading optical wireless communication (OWC) channels and characterize the DMT in the presence of both optical peak-and average-power constraints. Three different fading distributions are considered, which reflect different channel conditions. In each channel condition, we obtain the optimal DMT when the block length is sufficiently large, and we also derive the lower and upper bounds of the DMT curve when the block length is small. These results are dramatically different from the existing DMT results in radio-frequency (RF) channels. These differences may be due to the fact that the optical input signal is real and bounded, while its RF counterpart is usually complex and unbounded.Index terms -Peak-and average-power constraints, outage probability, average error probability, optical wireless communication, diversity-multiplexing tradeoff.Also, under a small block length, they found analogous DMT bounds as in (2), (3). The one-half factor in (4) reflects the loss of half of the degree of freedom compared with RF channels, which is due to the fact that optical inputs need to be real-valued. However, as mentioned before, inputs in OWC channels represent optical intensities, and hence their values must also be nonnegative. In fact, it is the nonnegativity of the optical inputs that significantly complicates the analysis of performance limits in OWC channels. Hence, directly applying half of the traditional RF MIMO capacity formula to calculate diversity gain in OWC channels cannot be theoretically justified. Also, the nonnegativity of optical inputs implies that the commonly used two-sided Gaussian random codes in RF channels are no longer admissible in OWC channels. Furthermore, due to the optical intensity inputs, the power constraints imposed on the inputs need to be described differently. All the above issues indicate the existing DMT results in RF channels cannot be directly extended here. Hence, how to characterize the optimal DMT in practical OWC channels still remains an open problem.