Polyamide-6/poly(epichlorohydrin - co - ethylene oxide) (PA6/ECO) nanocomposites were prepared with 6 wt.% organoclay and different ECO content from 5 to 40 wt.%, via two-step melt blending process. The effects of organoclay and rubber content on the morphological and rheological properties of samples have been studied. Samples have been characterized by X-ray diffraction (XRD), scanning electron microscopy (SEM), and rheometry in small amplitude oscillatory shear. XRD results indicate that the nanoclay platelets are partially exfoliated in both PA6 and ECO phases. The higher rubber content of nanocomposite samples results in higher exfoliation degree of the nanoclay layers. SEM photomicrographs of samples show that the size of rubber droplets increases by the introducing of nanoclay. Oscillatory shear measurements show that the storage modulus of nanocomposite samples significantly increases in comparison with unfilled blends. The formation of physical network is the prime cause of such increase. Moreover, presence of nanoclay dramatically increases melt yield stress of the samples. Palierne emulsion model has been applied to predict the rheological behavior of unfilled blends. A quantitative agreement between Palierne model and those of experimental data is found for low ECO content samples.