Over-the-air computation (AirComp) stands as a pioneering technology, offering swift wireless data aggregation by leveraging the superposition property inherent in wireless multiple-access channels. In future communication networks, the coexistence of communication and computing is inevitable, given the widespread adoption of wireless data aggregation. Meanwhile, fluid antenna (FA) has recently been considered as a promising technology to further enhance the system performance by exploiting the new degrees of freedom (DoFs) via antennas position movement. In this paper, a FA enhanced integrated communication and computation framework is proposed. Specifically, we undertake joint optimization of transceiver design and antenna position vector (APV) to minimize AirComp mean squared error (MSE) while maintaining the achievable rate of communication above a specified threshold. Numerical results shows superiority of FA arrays over conventional fixed-position antenna arrays (FPA).