CERTIFICATION FILED AS EXHIBIT 19(B) TO FORM N-CSR
Name of Issuer: AMG FUNDS III – AMG VERITAS ASIA PACIFIC FUND AND AMG GW&K ESG BOND FUND
In connection with the Report on Form N-CSR of the above-named issuer that is accompanied by this certification, the undersigned hereby certifies, to her knowledge, that:
| 1. | The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and |
| 2. | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the issuer. |
| Dated: September 4, 2026 | /s/ Keitha L. Kinne | |||||
| Keitha L. Kinne | ||||||
| Principal Executive Officer |
CERTIFICATION FILED AS EXHIBIT 19(B) TO FORM N-CSR
Name of Issuer: AMG FUNDS III – AMG VERITAS ASIA PACIFIC FUND AND AMG GW&K ESG BOND FUND
In connection with the Report on Form N-CSR of the above-named issuer that is accompanied by this certification, the undersigned hereby certifies, to his knowledge, that:
| 1. | The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and |
| 2. | The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the issuer. |
| Dated: September 4, 2026 | /s/ Thomas Disbrow | |||||
| Thomas Disbrow | ||||||
| Principal Financial Officer |