Open-loop multiple-input multiple-output (MIMO) precoders, that do not require channel information, were recently proposed to mitigate the performance degradation of spatial multiplexing (SM) due to spatial correlations and/or line-of-sight (LOS) component. The open-loop MIMO precoder technique has been adopted in next generation broadcasting systems, such as digital video broadcasting-next generation handheld (DVB-NGH) and advanced television systems committee (ATSC) 3.0 standards. Furthermore, in DVB-NGH and ATSC 3.0, cross-polarized antennas have been employed in order to overcome the insufficient antenna separation for co-polarized antennas, which can enhance the performance over high correlation and LOS conditions. In this paper, we analyze and evaluate the performance of the open-loop MIMO precoders with cross-polarized antennas over correlated channels with an LOS component. We first study the statistical property of the MIMO channel with cross-polarized antennas on the basis of the measurement-based channel model. Next, we derive pairwise error probability (PEP) of the SM with the open-loop MIMO precoder. Through the PEP derivation, we evaluate the performance of each open-loop MIMO precoder against the spatial correlations and LOS component with the effect of cross-polarized antennas. The simulation results are presented to demonstrate the performance of the open-loop MIMO precoders over various channel conditions.