In this study, we define Lichtenberg hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formulas of these quaternions. We find some relations between Jacobsthal hybrid quaternions, Mersenne hybrid quaternions and Lichtenberg hybrid quaternions. Also, Vajda’s identity and, as consequences, Catalan’s identity, d’Ocagne’s identity and Cassini’s identity are presented.