The functional response of the phytoseiid predator Amblyseius swirskii(Acarina:Phytoseiidae) on densities of its prey Tetranychus urticae and Thripstabaciand Bemisiatabaci, was evaluated under controlled temperature (25±2ºC), relative humidity (75±15%). Predator exhibited a decelerating curve Type II response determined by a logistic regression model.  The linear reciprocal transformation of Holling's disc equation was used to further evaluate the parametric values. Differences in handling times were found to be significant within the prey indicating that predator respond differentially to prey species. Differences in coefficients of attack rates, however, did not vary significantly in most of the treatments.  The potential role of this predator in biocontrol of Tetranychus urticae and Thripstabacithat may be the better predator for the management of both prey species, particularly two-spotted spider mite. However, further field-based studies are needed to confirm this hypothesis.