Laguerre polynomial's photon added coherent state is constructed by operation of Laguerre polynomial's photon added operator on coherent state. By the technique of integration within an ordered product of operators, its normalization factor and the calculation expression of 〈a^la^+m〉 are derived. The influences of the phase angle and the average photon number of coherent state on its non-classical properties are discussed. Numerical results show that, the first-order Laguerre polynomial's photon added coherent state presents squeezing effect, anti-bunching effect, sub-Poissonian statistical property and negativity of Wigner function, and the phase angle of the coherent state has an important influence on its quantum properties. On the other hand, its anti-bunching effect is weakened with the increase of the average photon number of coherent state, and so is the sub-Poissonian distribution property. However, its squeezing property and the negativity of Wigner function are firstly enhanced and then gradually weakened with the increase of the average photon number of coherent state.