Optical tweezers, a tool for contactless manipulation of micro-and nano-particles, are widely used to apply and measure forces. This thesis investigates various force measurement methods and their applications for force measurements in biological systems. Unlike position-based methods, the direct optical force measurement technique does not require calibration of the trap stiffness. The direct force measurement method utilises the determination of the change in the momentum of the trapping light to measure the optical forces acting on a trapped object. This thesis has developed a method for the measurement of the calibration constant for the force detector based on simultaneous detection of the position of the trapped particle and the optical force. Rigorous tests of the calibration technique and the direct force measurement method using different particles (red blood cell, vaterite, silica spheres), a variety of trapping media (water, plasma, ethanol), and trapping beams (HG 00 and HG 01) have shown Financial support