Cosmic-ray (CR) positrons are relatively rare due to its secondary origin and thus sensitive to exotic contributions. Primordial black holes (PBHs) with masses above $\sim 5\times10^{14}\,\mathrm{g}$ can be stable sources of CR positrons due to Hawking radiation. We show that the CR positron flux measured by AMS-02 can place stringent constraints on the energy fraction of PBHs relative to that of dark matter $f_{\text{PBH}}$. Making use of the state-of-the-art models for CR propagation in both the Galaxy and heliosphere, we obtain conservative upper limit of $f_{\text{PBH}}\lesssim3\times 10^{-4}$ at $M_{\mathrm{PBH}}\simeq2\times 10^{16}$ g, which improves the previous constraints obtained from the Voyager CR all-electron data by around an order of magnitude.
