This study investigates the construction of polynomials of at most degree \(n\) using the first \(n+1\) terms of the Horadam sequence through Lagrange interpolation. The paper provides a comprehensive analysis of the recurrence relations and fundamental identities associated with the Horadam-Lagrange Interpolation Polynomials. Furthermore, it explores the structural properties and special cases of these polynomials, highlighting their connections to well-known sequences such as Fibonacci, Lucas, Pell, Jacobsthal, Mersenne and Fermat sequences.