In response to reports, Weiner admitted that he had engaged in graphic sexual correspondence even after he resigned from Congress over earlier online exchanges with women.
"Some of those things happened before my resignation, some of them happened after," Weiner said.
Weiner, however, said he would continue running for mayor.
Rangel on Wednesday said he sympathized with Weiner's wife, Huma Abedin, who on Tuesday said she loved her husband and forgave him his transgressions.
"I have seen a lot of things like this in politics where males have to lean on their wives for support but I don't ever recall seeing a wife looking and feeling so sad and embarrassed because Huma is a very private person, a very delicate, sophisticated person and of all the years that I've known her putting her into this political situation, as bright and intelligence as she is, is very awkward," Rangel said.
"And my feelings were all for her in terms of what she felt she had to do for her husband."