We study Hamiltonicity in graphs obtained as the union of a deterministic n-vertex graph H with linear degrees and a d-dimensional random geometric graph G n r ( , ) d , for any ≥ d 1. We obtain an asymptotically optimal bound on the minimum r for which a.a.s. ∪ H G n r ( , ) d is Hamiltonian. Our proof provides a linear time algorithm to find a Hamilton cycle in such graphs.