The unit of magnetic flux is:
Tesla (T) is the SI unit of magnetic field strength (magnetic induction). One Weber of magnetic flux corresponds to one Tesla of magnetic field.
The unit of magnetic flux is the Weber (Wb). The Weber is the International System of Units (SI) unit for magnetic flux and is defined as the magnetic flux that, when linking a circuit of one turn, produces an electromotive force of one volt in the circuit if it is reduced to zero at a uniform rate in one second.
Gauss (G) is a unit of magnetic field often used in the centimeter-gram-second (CGS) system. 1 Gauss is equal to 10^(-4) Tesla.
Henry (H) is the SI unit of inductance, which is a measure of how an electric current induces a magnetic field in a circuit. It is not a unit of magnetic flux.
The unit of magnetic flux is the Weber (Wb).