We extend the geometric side of Arthur’s non-invariant trace formula for a reductive group G defined over $\mathbb Q$ continuously to a natural space $\mathcal {C}(G(\mathbb {A})^{1})$ of test functions which are not necessarily compactly supported. The analogous result for the spectral side was obtained in [10]. The geometric side is decomposed according to the following equivalence relation on $G(\mathbb {Q}): \gamma_1 ∼ \gamma_2$ if $\gamma_1$ and $\gamma_2$ are conjugate in $G(\overline {\mathbb {Q}})$ and their semisimple parts are conjugate in $G(\mathbb {Q})$. All terms in the resulting decomposition are continuous linear forms on the space $\mathcal {C}(G(\mathbb {A})^{1})$, and can be approximated (with continuous error terms) by naively truncated integrals.