Optoelectronic tweezers (OET) utilizes the optically induced dielectrophoresis (ODEP) force to manipulate and assemble carbon nanotube (CNT) particles in an aqueous solution. This work can help us to gain exciting and promising applications in electronic devices and sensing areas. In this paper, a numerical model based on the Maxwell stress tensor (MST) method has been presented to study a single CNT particle subjected to both the ODEP force and torque in a non-uniform electric field. In addition, a single-sided OET, which is unlike traditional OET chips and enables the assembly and alignment of CNT particles, has been introduced and studied. The calculated results on the CNT particles analogy to non-spherical shapes demonstrate that the MST method can provide more accurate predictions than the effective dipole moment. Furthermore, both the DEP force and torque exerted on the CNT particle, as well as shell thickness, spatial position, and distance between CNT particle and electrode, have been studied in detail. These results are in agreement with those obtained by other researchers. This work can help us to gain new insights into the analysis of motions of the CNT particles suspended in OET chips.