Integrating high altitude platforms (HAPs) and free space optical (FSO) communications is a promising solution to establish high data rate aerial links for the next generation wireless networks. However, practical limitations such as pointing errors and angle-of-arrival (AOA) fluctuations of the optical beam due to the orientation deviations of hovering HAPs make it challenging to implement HAP-based FSO links. For a ground-to-HAP FSO link, tractable, closed-form statistical channel models are derived in this paper to simplify optimal design of such systems. The proposed models include the combined effects of atmospheric turbulence regimes (i.e., log-normal and gammagamma), pointing error induced geometrical loss, pointing jitter variance caused by beam wander, detector aperture size, beamwidth, and AOA fluctuations of the received optical beam. The analytical expressions are corroborated by performing Monte-Carlo simulations. Furthermore, closed-form expressions for the outage probability of the considered link under different turbulence regimes are derived. Detailed analysis is carried out to optimize the transmitted laser beam and the field-of-view of the receiver for minimizing outage probability under different channel conditions. The obtained analytical results can be applied to finding the optimal parameter values and designing ground-to-HAP FSO links without resorting to time-consuming simulations.Index Terms-Angle-of-arrival fluctuations, atmospheric turbulence, channel modeling, free-space optics, high altitude platforms.1 It is worth noting that, as proposed and implemented in [8], [9], there exist spaceborne optical communication links (i.e., high data-rate bi-directional optical communications between Earth and geostationary Earth orbit (GEO), and low Earth orbit (LEO)) that employ adaptive optics (AO) to facilitate coupling the received optical signal into a single-mode fiber. In this regard, the AO system should be capable of coupling more than half the received signal into the single mode fiber. Due its technical complexity and implementation cost as well as it narrow scopes (which are mainly limited to deep space communications), in this paper, we do not consider these types of FSO communication systems that employ the AO subsystem in their links.