The Judge does have the discretion to either order no visits or supervised visits. It is very rare that there be an order of no visitation that would generally, but not always be involved if DCF or Child Protective Services is involved with a case or criminal case with some significant issues that are being alleged.  It is unusual that there be an order of no visitation.  A Judge also does have the discretion of ordering supervised visitation.  Again, this is common as non-supervised visitation, but can occur by whether it is a family member, a paid professional or at a supervised visitation center.  This can be agreed upon by the parties or argued to the Judge.  It is most likely to occur if there can be shown of a risk of harming and neglect of the minor child.  Again, if DCF is involved this maybe become a more likely scenario; or if there is lack of a significant bond between the child and the parent; or significant issues such as alcohol, substance abuse and other issues.