  Constructing a universal operation scheme for Majorana qubits remains a
central issue for the topological quantum computation. We study the
Landau-Zener-St\"{u}ckelberg interference in a Majorana qubit and show that
this interference can be used to achieve controllable operations. The Majorana
qubit consists of an rf SQUID with a topological nanowire Josephson junction
which hosts Majorana bound states. In the SQUID, a magnetic flux pulse can
drive the quantum evolution of the Majorana qubit. The qubit experiences two
Landau-Zener transitions when the amplitude of the pulse is tuned around the
superconducting flux quanta $2e/\hbar$. The Landau-Zener-St\"{u}ckelberg
interference between the two transitions rotates the Majorana qubit, with the
angle controlled by the time scale of the pulse. This rotation operation
implements a high-speed single-qubit gate on the Majorana qubit, which is a
necessary ingredient for the topological quantum computation.
