DNA origami is a method for constructing 2-dimensional nanostructures with arbitrary shapes, by folding a long piece of viral genomic DNA into an extended pattern (Rothemund, 2006). In this thesis DNA origami nanostructures that in- corporate active transport are developed, by combining rectangular DNA origami tiles with either synthetic DNA motors, or the protein motor F1-ATPase. The transport of an autonomous, unidirectional, and processive 'burnt-bridges' DNA motor across an extended linear track anchored to a DNA origami tile is demonstrated. Ensemble fluorescence measurements are used to characterise motor transport, and are compared to a simple deterministic model of stepping. The motor moves 100 nm along a track at 0.1 nms-1 Atomic force microscopy (AFM) is used to study the transport of individual motor molecules along the track with single-step resolution. A DNA origami track for a 'two-foot' DNA motor is also developed, and is characterised by AFM and ensemble fluorescence measurements. The burnt-bridges DNA motor is then directed through a track network with either 1 or 3 bifurcations. Ensemble fluorescence measurements demonstrate that the path taken can be controlled by the addition of external control strands, or pre-programmed into the motor. A method for attaching the rotary motor protein F1-ATPase to DNA origami tiles is developed. Different bulk and single-molecule methods for demonstrat- ing protein binding are explored. Single-molecule observations of rotation of the protein motor on a DNA origami substrate are made, and are of equivalent data quality to existing techniques.