A plasmonic sensor structure based on nanorods enhanced resonators that composes of a metal-insulator-metal (MIM) S-shaped waveguide with baffle, an ohm-shaped resonator (OSR) and a D-shaped resonator with a gap (DSRG), is presented. The transmission properties of the structure are numerically simulated employing the finite element method (FEM). The results show that the independent tunability of the resonance peaks can be achieved by varying the nanorods radii in different resonators, and exhibits good linearities. In addition, the effect of nanorods radii on the sensing performance of the structure is also discussed. The best values of performance parameters can be obtained a sensitivity of 4459.05 nm per refractive index unit (RIU) and a figure of merit (FOM) of 297.67 RIU−1. Additionally, the ability of the designed structure to act as a biochemical sensor is tested. Based on the independence of the resonators, the plasmonic sensor is used for the simultaneous detection of iodine solution and glycerol, and the best sensitivities reach 8600 nm/% and 377.78 nm/%, respectively. These results open the way for the applications of plasmonic sensors in biochemical sensing.