To solve \(-9 \times \left(-\frac{1}{3}\right)^3\), we first calculate \(\left(-\frac{1}{3}\right)^3\).
\[ \left(-\frac{1}{3}\right)^3 = -\frac{1}{3} \times -\frac{1}{3} \times -\frac{1}{3} = -\frac{1}{27} \]
Now, substitute this back into the original expression:
\[ -9 \times -\frac{1}{27} \]
The negatives cancel each other out:
\[ 9 \times \frac{1}{27} = \frac{9}{27} = \frac{1}{3} \]
Thus, the final result is:
\[ \boxed{\frac{1}{3}} \]