Summary: We construct new coherent states labeled by points \(z\) of the complex plane and depending on three parameters \(\gamma\), \(\nu\) and \(\varepsilon > 0\) by replacing the coefficients \({{z}^{n}}/\sqrt{n!}\) of the canonical coherent states by Laguerre polynomials with an order depending on \(\gamma\). These coherent states are superpositions of eigenstates of the Hamiltonian with a symmetric Pöschl-Teller potential indexed by \(\nu\), which solve an \(\varepsilon\)-identity operator while the resolution of the identity of the states Hilbert space is acheived at the limit \(\varepsilon \to {{0}^{+}}\). We obtain their wave functions in a closed form for a special case of parameters \(\gamma\) and \(\nu\). We also discuss their associated coherent states transform which leads to an integral representation of Hankel type for Laguerre functions.