The Exoplanet Tracker is a prototype of a new type of fibre-fed instrument for performing high precision relative Doppler measurements to detect extra-solar planets. A combination of Michelson interferometer and medium resolution spectrograph, this low-cost instrument facilitates radial velocity measurements with high throughput over a small bandwidth (~ 300 Angstroms), and has the potential to be designed for multi-object operation with moderate bandwidths (~1000 Angstroms). We present the first planet detection with this new type of instrument, a successful confirmation of the well established planetary companion to 51 Peg, showing an rms precision of 11.5m/s over five days. We also show comparison measurements of the radial velocity stable star, Eta Cas, showing an rms precision of 7.9m/s over seven days. These new results are starting to approach the precision levels obtained with traditional radial velocity techniques based on cross-dispersed echelles. We anticipate that this new technique could have an important impact in the search for extra-solar planets.