In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. The aim of this study to give q-analogue of the Pell hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Silver ratio as follow δq = 1+qn−12+4qn−2+(1+qn−1)22, n ≥ 2. Making use of this q-analogue of the Silver ratio, we defined sin Pqh(x) and cos Pqh(x) functions. We investigated some properties and gave some relationships between these functions.