The magnetic moment of Cl-33 (I-pi = 3/2(+), T-1/2 = 2.51 s) has been re-measured precisely by beta-NMR method. The obtained magnetic moment \mu\ = 0.7549(3) mu(N) is consistent with the old value 0.7523(16) mu(N), but is 5 times more accurate. The value is well reproduced by the shell model calculation; mu(SM) = 0.70 mu(N). Combined with the magnetic moment of the mirror partner S-33, the nuclear matrix elements <l(p)>, <l(n)>, <S-p>, and <S-n> were derived.