The deuteron transverse charge density ρC(b) is the two-dimensional Fourier transform of its charge form factor in the impact space. We show that different parameterizations of the charge form factors provide different ρC(b), in particular at the central value of impact parameter (b = 0), although all the parameterizations can well reproduce the form factors in the region of small Q 2 . In addition, we also check the explicit contributions from the different coordinate intervals of the deuteron wave function to its root-mean-square radius.