There is some instances where people have made a new ruling saying that it is not permissible to have intercourse when it is new moon night.
It must be noted that whatever you may have heard about being allowed or not to intercourse on a new moon night at the beginning of a month is not correct. There is no basis on this in the authentic ahadeeth. A man can have an intercourse with his wife at any time as he wishes except in ihram for hajj or umrah or when fasting. During Ramadhan too a man can have intercourse with his wife at night when he is not fasting or has opened his fast. Intercourse is also not allowed during menstruation or bleeding following childbirth.
There is no restriction during other times.
“The Hajj (pilgrimage) is (in) the well-known (lunar year) months (i.e. the 10th month, the 11th month and the first ten days of the 12th month of the Islamic calendar, i.e. two months and ten days). So whosoever intends to perform Hajj therein (by assuming Ihraam), then he should not have sexual relations (with his wife), nor commit sin, nor dispute unjustly during the Hajj”
“It is made lawful for you to have sexual relations with your wives on the night of As-Sawm (the fasts). They are Libaas [i.e. body-cover, or screen, or Sakan (i.e. you enjoy the pleasure of living with them)] for you and you are the same for them”
“They ask you concerning menstruation. Say: that is an Adha (a harmful thing for a husband to have a sexual intercourse with his wife while she is having her menses), therefore, keep away from women during menses and go not unto them till they are purified (from menses and have taken a bath). And when they have purified themselves, then go in unto them as Allaah has ordained for you (go in unto them in any manner as long as it is in their vagina). Truly, Allaah loves those who turn unto Him in repentance and loves those who purify themselves (by taking a bath and cleaning and washing thoroughly their private parts and bodies for their prayers)”
And Allaah knows best.
May Allah help us to follow his rules and stand firm on his deen.