Let $R$ be a commutative ring with identity, $T_{n}(R)$ the $R$-algebra of all upper triangular $n$ by $n$ matrices over $R$. In this paper, it is proved that every local Jordan derivation of $T_{n}(R)$ is an inner derivation and that every local Jordan automorphism of $T_{n}(R)$ is a Jordan automorphism. As applications, we show that local derivations and local automorphisms of $T_{n}(R)$ are inner.