Electromagnetic resonances offering high quality factors (and thus giant enhancement of electromagnetic field) are important in applied physics, yet most of these resonances reside outside the radiative continuum. This study uses a magnetic dipole type of quasi-bound state in the continuum (quasi-MDBIC) of a dielectric metasurface to provide resonant enhancement of wireless power transfer (WPT). The $Q$ factor and mode volume of this quasi-MDBIC can be manipulated to facilitate the WPT of single and multiple receivers. This result might have great impact in enhancing electromagnetic field-matter interaction to realize WPT.