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Based on cosmic ray events without a magnetic field taken with the BESIIIdetector during the summer shutdown of BEPCII in 2012 and di-muon events from adata sample taken at center-of-mass energy of 3.686 GeV in 2009, we compare thecoordinates of hits registered in the BESIII muon counter with the expectedinteraction point extrapolated from reconstructed tracks from the innertracking system in the absence of a magnetic field. By minimizing thedifference, we align the muon counter with the inner tracking system. Moreover,the strength of the magnetic field in the muon counter is measured for thefirst time with di-muon events from data taken at a center-of-mass energy of3.686~GeV. After the alignment and the magnetic field strength measurement, theoffsets in the reconstructed hit positions for muon tracks are reduced, whichimproves the muon identification. The alignment and magnetic field strengthmeasurement have been adopted in the latest version of the BESIII offlinesoftware system. This addition to the software reduces the systematicuncertainty for the physics analysis in cases where the muon counterinformation is used.

Alignment and measurement of the magnetic field for the BESIII muon counter