In this work we evaluate the production rate of the charmed baryon Λ c (2940) + at PANDA. For possible assignments of Λ c (2940) + : J P = 1/2 ± , 3/2 ± and 5/2 ± , the total cross section of p p → Λc Λ c (2940) + is estimated, which may exceed 1 nb. With the designed luminosity (2 × 10 −32 cm −2 /s) of PANDA, our estimate indicates that ten thousand events per day if Λ 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 Λ c (2940) + production. In addition, we present the Dalitz plot and carry out a rough background analysis of the Λ c (2940) + production in the p p → D 0 p Λc and p p → Σ 0,++ c π +,− Λc processes, which would provide valuable information for accurate determination of the Λ c (2940) + identity.