We have developed optical tweezers, with force measurements based on fast video tracking, for analysis and control of DNA translocation through nanocapillaries. Nanocapillaries are single-molecule biosensors with very similar characteristics to solid-state nanopores. Our novel experimental setup allows for ionic-current measurements in which the nanocapillary is oriented perpendicular to the trapping laser. Using video-based particle tracking, we are able to measure the position of DNA coated colloids at sub-millisecond resolution and in real-time. We present the first electrophoretic force and simultaneous ionic-current measurements of a single DNA molecule inside the orifice of a nanocapillary.