As the second work in a series of papers aiming to detect absorption systems in the quasar spectra of the Baryon Oscillation Spectroscopic Survey, we continue the analysis of Paper I by expanding the quasar sample to those quasars with z em > 2.4. This yields a sample of 21,963 appropriate quasars to search for narrow C IVλλ1548, 1551 absorptions with W r ≥ 0.2 Å for both lines. There are 9708 quasars with at least one appropriate absorption system imprinted on their spectra. From these spectra, we detect 13,919 narrow Civabsorption systems whose absorption redshifts cover a range of z abs = 1.8784 -4.3704. In this paper and Paper 1, we have selected 37,241 appropriate quasars with median SNR ≥ 4 and 1.54 z em 5.16 to visually analyze narrow C IVλλ1548, 1551 absorption doublets one by one. A total of 15,999 quasars are found to have at least one appropriate absorption system imprinted on their spectra. From these 15,999 quasar spectra, we have detected 23,336 appropriate C IVλλ1548, 1551 absorption systems with W r ≥ 0.2 Åwhose absorption redshifts cover a range of z abs = 1.4544 -4.3704. The largest values of W r are 3.19 Å for the λ1548 absorption line and 2.93 Å for the λ1551 absorption line, respectively. We find that only a few absorbers show large values of W r . About 1.1% absorbers of the total absorbers have W r λ1548 ≥ 2.0 Å.