The Twinkle space telescope has been designed for the characterisation of exoplanets and Solar System objects. Operating in a low Earth, Sunsynchronous orbit, Twinkle is equipped with a 45 cm telescope and visible (0.4 -1µm) and infrared (1.3 -4.5µm) spectrometers which can be operated simultaneously. Twinkle is a general observatory which will provide on-demand observations of a wide variety of targets within wavelength ranges that are currently not accessible using other space telescopes or accessible only to oversubscribed observatories in the short-term future.Here we explore the ability of Twinkle's spectrometers to characterise the currently-known exoplanets. We study the spectral resolution achievable by combining multiple observations for various planetary and stellar types. We also simulate spectral retrievals for some well-known planets (HD 209458 b, GJ 3470 b and 55 Cnc e).From the exoplanets known today, we find that with a single transit or eclipse, Twinkle could probe 89 planets at low spectral resolution (R <20) as well as 12 planets at higher resolution (R >20) in channel 1 (1.3 -4.5µm). With 10 observations, the atmospheres of 144 planets could be characterised with R <20 and 81 at higher resolutions.Upcoming surveys will reveal thousands of new exoplanets, many of which will be located within Twinkle's field of regard. TESS in particular 1 arXiv:1811.08348v2 [astro-ph.EP]