Cavity-assisted atom interferometry has been proposed for gravity measurement in the past decade due to its promising advantages such as low laser power consumption, high beam quality, and strong atom-photon interactions. However, the previous cavity-related works have difficulties measuring the absolute gravitational acceleration $g$ due to their limited cavity design and locking methods. We experimentally demonstrate a Raman-type absolute atom gravimeter assisted by a newly designed degenerate optical cavity. The gravimeter achieves a decent sensitivity of about $28.5\left(9\right)\times {10}^{-8}g{\mathrm{Hz}}^{-1/2}$ under our noisy laboratory conditions and without magnetic shielding of the atom interference area. The accuracy reaches 20 $\mu \mathrm{Gal}$ within half an hour of continuous measurement. We also systematically measure and analyze the main noises affecting the $g$-measure sensitivity, indicating no physical obstacles to achieving higher sensitivity. Our cavity scheme is compatible and can be easily integrated with current free-space atom interferometers. By fully utilizing the cavity's advantages, it will benefit many areas in future fundamental research and fieldable applications.

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• Atom interferometry