The couple has two children together, three-year-old twins - Max and Emme - and J.Lo has reportedly asked for the full custody of both the kids.
Divorce Attorneys believe that it is going to be a difficult battle, if the matter goes to the court.
"They are always with their mom. Jennifer lights up around her kids. She's incredible, balancing work and being a good mom," a source told Us Weekly.
J. Lo's recent announcement to end the marriage with husband Marc came following her claims that he was not treating her right.
"It's not that I didn't love myself before. Sometimes we don't realize that we are compromising ourselves. To understand that a person is not good for you, or that that person is not treating you in the right way, or that he is not doing the right thing for himself - if I stay, then I am not doing the right thing for me," the singer-actor had told September issue of America's Vanity Fair.