To realize the reduction in cutting force and guarantee pruning section quality in the pruning and stubble work of Caragana korshinskii (C.K.), a concentric curvilineal edge sliding cutter was proposed and the related cutting characteristics were studied. The impacts of branch diameter (D), cutting speed (${\mathrm{V}}_{\mathrm{c}}$), blade wedge angle ($\mathsf{\beta }$), cutting clearance ($\mathrm{c}$) and moisture content (W) on peak torque (T) and cutting energy (E) with this cutter were explored in single-factor tests. On the basis of the Box—Behnken principle, a multi-factor test was further conducted based on the single-factor tests with ${\mathrm{V}}_{\mathrm{c}}$, $\mathsf{\beta }$ and c as influencing factors and with T and E as targets, and a regression model was established. Test results indicate that the peak torque (T) increases with the increase in D and $\mathsf{\beta }$ and reduces with the growth of ${\mathrm{V}}_{\mathrm{c}}$ and W; with the increase in $\mathrm{c}$, it reduces first and then rises; the cutting energy (E) increases with the growth of D and $\mathsf{\beta }$, declines with the increase in W and diminishes first and then rises with the increase in ${\mathrm{V}}_{\mathrm{c}}$ and $\mathrm{c}$. The optimal parameter combination of the regression model was obtained with ${\mathrm{V}}_{\mathrm{c}}$ of 2.16 rad/s, $\mathsf{\beta }$ of 20$°$ and $\mathrm{c}$ of 1.0 mm, which resulted in a T of 17.25 N·m and P of 7.03 J. The discrepancies between the observed and forecasted values for T and E are 0.87% and 5.004%. New cutting tool and data support for the development of subsequent C.K. branch stubble equipment can be obtained with this new sliding cutter.