Polarization characteristics and spectra of photoluminescence in CdSe nanorods suspended in liquid were investigated. Experiments demonstrated the presence of the polarization memory related to the mismatch of nanorods and solvent dielectric constants, as well as to anisotropy of optical matrix elements. Luminescent spectra contained two peaks corresponding to interband transitions between the ground and excited size-quantized states and having essentially different values of polarization memory, presumably due to different anisotropy of corresponding matrix elements. The amplitude of polarization memory decreased with the increase in concentration of nanorods confirming the hypothesis of their mutual influence.