Peroxy and peroxyacyl nitrates (PNs and PANs) are important trace gas constituents of the troposphere which are challenging to quantify by differential thermal dissociation with NO<sub>2</sub> detection in polluted (i.e., high-NO<sub>x</sub>) environments. In this paper, a thermal dissociation peroxy radical chemical amplification cavity ring-down spectrometer (TD-PERCA-CRDS) for sensitive and selective quantification of total peroxynitrates (ΣPN = ΣRO<sub>2</sub>NO<sub>2</sub>) and of total peroxyacyl nitrates (ΣPAN = ΣRC(O)O<sub>2</sub>NO<sub>2</sub>) is described. The instrument features multiple detection channels to monitor the NO<sub>2</sub> background and the RO<sub>x</sub> (= HO<sub>2</sub> + RO<sub>2</sub> + ΣRO<sub>2</sub>) radicals generated by TD of ΣPN and/or ΣPAN. Chemical amplification is achieved through addition of 0.6 ppm NO and 1.6 % C<sub>2</sub>H<sub>6</sub> to the inlet. The instrument's performance was evaluated using peroxynitric acid (PNA) and peroxyacetic or peroxypropionic nitric anhydride (PAN or PPN) as representative examples of ΣPN and ΣPAN, respectively, whose abundances were verified by iodide chemical ionization mass spectrometry (CIMS). The amplification factor or chain length increases with temperature up to 69 ± 5 and decreases with analyte concentration and relative humidity (RH). At inlet temperatures above 120 °C and 250 °C, respectively, PNA and ΣPAN fully dissociated, though their TD profiles partially overlap. Furthermore, interference from ozone (O<sub>3</sub>) was observed at temperatures above 150 °C, rationalized by its partial dissociation to O atoms which react with C<sub>2</sub>H<sub>6</sub> to form C<sub>2</sub>H<sub>5</sub> and OH radicals. Quantification of PNA and ΣPAN in laboratory-generated mixtures containing O<sub>3</sub> was achieved by simultaneously monitoring the TD-PERCA responses in multiple parallel CRDS channels set to different temperatures in the 60 °C to 130 °C range. The (1 s, 1σ) limit of detection (LOD) of TD-PERCA-CRDS is 3.4 pptv for PNA and 1.3 pptv for ΣPAN and significantly lower than TD-CRDS without chemical amplification. The feasibility of TD-PERCA-CRDS for ambient air measurements is discussed.