We discuss transportation and redistribution of energy and angular momentum in the magnetic connection (MC) process and Blandford-Payne (BP) process. The MC results in readjusting the interior viscous torque, and its effects are operative not only in but also beyond the MC region. The BP process is invoked to transfer the "excessive" angular momentum from an accretion disc. In addition, we derive a criterion for the interior viscous torque to resolve the puzzle of the overall equilibrium of angular momentum in disc accretion. It turns out that the BP efficiency of extracting angular momentum and the intensity of the outflow are required to be greater than some critical values.accretion: accretion discs, black hole physics, magnetic field, angular momentum transfer Disc accretion is widely regarded as an effective energy mechanism of high-energy phenomena in AGNs, X-ray binaries and some other compact objects. The interior viscous torque due to differential rotation transfers angular momentum outward to make accreting matter fall inward, and energy of disc radiation arises from dissipation of gravitational binding energy [1][2][3][4].Rotating energy of a fast spinning black hole is another energy source for disc radiation. A black hole can exert a significant torque at its surrounding disc via large-scale magnetic field, and this mechanism is referred to as the magnetic connection (MC) process. The Poynting flux is injected into the inner disc in the MC process, resulting in the enhanced dissipation more concentrated in the inner disc [5,6]. This feature can be used to interpret the very steep emissivity index of MCG-6-30-15 required by the observed Fe Kα line [7][8][9][10].On the other hand, large-scale magnetic fields also play an important role in jet production, e.g. via BlandfordPayne (BP) process [11][12][13][14]. Recently, Miller et al. pointed out that the X-ray-absorbing wind discovered in the observation of GRO J1655-40 must be powered by a magnetic process, by which angular momentum can also be transferred efficiently out of the disc [15].It is well known that angular momentum transfer is of fundamental importance in disc accretion. A potential barrier arising from continuous transfer of "excessive" angular momentum outward by the interior viscous torque blocks accretion at outer disc, and this problem is referred to as a puzzle of overall equilibrium of angular momentum of accretion discs. The following processes could be invoked to remove the "excessive" angular momentum from the disc:(1) Tidal interaction. It has been argued that the tidal interaction with the companion star can exert a decelerating torque on the outer boundary, and transfer the excessive angular momentum of accretion disc to the bulk revolution of a binary system [16].(2) Radiation. Angular momentum can be taken away from the disc by radiation. However, the efficiency is very low as argued in the next section of this paper. Probably, angular momentum can be carried away by gravitational wave in a very violent burst.(3) Exterior str...