Extremely fast rotating molecules whose rotational energy is comparable with the molecular bond strength are known as "superrotors." It has been speculated that superrotors may exhibit a number of unique properties, yet only indirect evidence of these molecular objects has been reported to date. Here we demonstrate the first direct observation of molecular superrotors by detecting coherent unidirectional molecular rotation with extreme frequencies exceeding 10 THz. The technique of an "optical centrifuge" is used to control the degree of rotational excitation in an ultrabroad range of rotational quantum numbers, reaching as high as N ¼ 95 in oxygen and N ¼ 60 in nitrogen. State-resolved detection enables us to determine the shape of the excited rotational wave packet and quantify the effect of centrifugal distortion on the rotational spectrum. Femtosecond time resolution reveals coherent rotational dynamics with increasing coherence times at higher angular momentum. We demonstrate that molecular superrotors can be created and observed in dense samples under normal conditions where the effects of ultrafast rotation on manybody interactions, intermolecular collisions, and chemical reactions can be readily explored. DOI: 10.1103/PhysRevLett.112.113004 PACS numbers: 33.15.-e, 33.20.Sn, 33.20.Xx Control of molecular rotation has been long recognized and successfully used as a powerful tool for steering chemical reactions in gases [1], and, at gas-surface interfaces [2,3], for imaging individual molecular orbitals [4] and generating extreme ultraviolet radiation [5,6], for deflecting molecular beams [7], and separating molecular isotopes [8]. The control is achieved by means of the spatial alignment of molecular axes and generally does not require a high degree of rotational excitation. On the other hand, extending the reach of rotational control to high rotational states is motivated by theoretical studies which show that ultrafast molecular rotation may change the character of molecular scattering from solid surfaces [9], alter molecular trajectories in external fields [10], increase stability against collisions [11], and lead to the formation of gas vortices [12]. New ways of molecular cooling [13] and selective chemical bond breaking [14] by ultrafast spinning have been suggested.The appeal of rotational control has stimulated the development of multiple techniques in which molecules are exposed to strong nonresonant laser pulses [15,16]. However, bringing a large number of molecules to fast rotation is rather challenging. Conventional single-pulse excitation schemes lack selectivity with respect to the final speed of molecular rotation and produce broad rotational distributions [17]. Although sequences of pulses have been successfully used for selective [18][19][20][21] and directional [22][23][24] rotational excitation, the range of accessible rotational states has been limited to relatively low rotational quantum numbers (of order 10 above the initial state) due to the molecular breakdown in intense laser f...