By integrating the techniques of laser cooling and trapping with those of cavity quantum electrodynamics (QED), single cesium atoms have been trapped within the mode of a small, high finesse optical cavity in a regime of strong coupling. The observed lifetime for individual atoms trapped within the cavity mode is t ഠ 28 ms, and is limited by fluctuations of light forces arising from the far-detuned intracavity field. This initial realization of trapped atoms in cavity QED should enable diverse protocols in quantum information science. PACS numbers: 42.50.Vk, 32.80.Pj Cavity quantum electrodynamics (QED) offers powerful possibilities for the deterministic control of atom-photon interactions quantum by quantum [1,2]. Indeed, modern experiments in cavity QED have achieved the exceptional circumstance of strong coupling, for which single quanta can profoundly impact the dynamics of the atom-cavity system. Cavity QED has led to many new phenomena, including the realization of a quantum phase gate [3], the creation of Fock states of the radiation field [4], and the demonstration of quantum nondemolition detection for single photons [5].These and other diverse accomplishments set the stage for advances into yet broader frontiers in quantum information science for which cavity QED offers unique advantages. For example, it should be possible to realize complex quantum circuits and quantum networks by way of multiple atom-cavity systems linked by optical interconnects [6,7], as well as to pursue more general investigations of quantum dynamics for continuously observed open quantum systems [8]. The primary technical challenge on the road toward these scientific goals is the need to trap and localize atoms within a cavity in a setting suitable for strong coupling, thereby eliminating the indeterminism intrinsic to atom beams. In fact, all serious schemes for quantum computation and communication via cavity QED rely on developing techniques for atom confinement that do not interfere with cavity QED interactions.In this Letter, we report a significant milestone in this quest, namely the first trapping of a single atom in cavity QED. Our experiment integrates the techniques of laser cooling and trapping with those of cavity QED to deliver cold atoms (kinetic energy E k Ӎ 30 mK) into the mode of a high finesse optical cavity. In a domain of strong coupling, the trajectory of an individual atom within the cavity mode can be monitored in real time by a near resonant field with mean intracavity photon numbern , 1 [9-13]. Here we exploit this capability to trigger ON an auxiliary field that functions as a far-off-resonance dipoleforce trap (FORT) [14,15], providing a confining potential to trap the atom within the cavity mode. Likewise, when the FORT is turned OFF after a variable delay, strong coupling enables detection of the atom. Repetition of such measurements yields a trap lifetime t 28 6 6 ms, which is currently limited by fluctuations in the intensity of the intracavity trapping field (FORT). Stated in units of the coupl...