In this work we evaluate the production rate of the charmed baryon ${\Lambda }_c(2940{)}^{+}$ at PANDA. For possible assignments of ${\Lambda }_c(2940{)}^{+}$: $J^P=1/2^{\pm }$, $3/2^{\pm }$ and $5/2^{\pm }$, the total cross section of $p\overline{p}\to {\overline{\Lambda }}_c{\Lambda }_c(2940{)}^{+}$ is estimated, which may exceed 1 nb. With the designed luminosity ($2\times {10}^{-32}{\mathrm{cm}}^{-2}/\mathrm{s}$) of PANDA, our estimate indicates that ten thousand events per day if ${\Lambda }_c(2940{)}^{+}$ is of $J^P=1/2^{+}$ or ${10}^8$ per day if it is of $J^P=5/2^{+}$ can be expected. Those values actually set the lower and upper limits of the ${\Lambda }_c(2940{)}^{+}$ production. In addition, we present the Dalitz plot and carry out a rough background analysis of the ${\Lambda }_c(2940{)}^{+}$ production in the $p\overline{p}\to D^{0}p{\overline{\Lambda }}_c$ and $p\overline{p}\to {\Sigma }_c^{0,++}{\pi }^{+,-}{\overline{\Lambda }}_c$ processes, which would provide valuable information for accurate determination of the ${\Lambda }_c(2940{)}^{+}$ identity.

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