For (A, σ) a central simple algebra of even degree with hyperbolic orthogonal involution, we describe the canonically induced involution σ on the even Clifford algebra (C 0 (A, σ), σ) of (A, σ). When deg A ≡ 0 mod 8, A ∼ = M 2 (B) and the interesting part of σ is isomorphic to the canonical involution on an exterior power algebra of B. As a corollary, we get some properties of the involution on the exterior power algebra.Associated to any central simple algebra (A, σ) of even degree with orthogonal involution over a field F of characteristic / = 2 is its even Clifford algebra (C 0 (A, σ), σ). The even Clifford algebra is also an algebra (although not F -central) with involution (not necessarily orthogonal), see [KMRT98, 8.10], [Jac64, §III], or [Tit68]. Even when given a very specific description of (A, σ), a description of σ is generally unknown. P. Morandi pointed out to me that this is so even in the simplest case, which is when σ is hyperbolic. (Note that A has a hyperbolic involution if and only if it is isomorphic to M 2 (B) for some B. When this occurs, there is up to isomorphism only one hyperbolic involution on A.) In this paper, we describe σ in that case.We begin by looking at the case where A is split and σ is isotropic. In 1.1 we show that σ restricts to be hyperbolic on each component of C 0 (A, σ). This is quite easy to prove, but is very surprising and seems not to be in the literature (except in the case where σ is hyperbolic). As a consequence, we get that whenever σ is orthogonal, it has trivial discriminant.The result when A is split allows us to focus on the situation when A is nonsplit and σ is hyperbolic. Then deg A ≡ 0 mod 4 and it was proven by Tits [Tit68, p. 40] and, independently, Allen [All68] that (C 0 (A, σ), σ) ∼ =