Summary: First we define the notion of Jordan left \(*\)-derivation and generalized Jordan left \(*\)-derivation on a \(*\)-ring \(R\) and then prove the following: Let \(n\geq 1\) be a fixed integer and \(R\) be an \((n+1)!\)-torsion free \(*\)-ring with identity element \(e\). If \(F,d\colon R\to R\) are two additive mappings satisfying \(F(x^{n+1})=(x^*)^nF(x)+\sum_{i=1}^n(x^*)^{n-i}x^id(x)\) for all \(x\in R\), then \(d\) is a Jordan left \(*\)-derivation and \(F\) is a generalized Jordan left \(*\)-derivation on \(R\).