Cannot receive email from 1 domain email ids to other one

[ruchi]

I have 2 domains hosted on Godaddy . Email configured to these domains works fine individually but when i send mail from 1st domain to 2nd domain emails then it never reaches to inbox of 2nd domain email where as it is successfully showing in sent folder of 1st domain mail box. I can send mails from 2nd domain to 1st domain email ids without any problem.

Can anybody help me why this is happening ?

[PL281]

@ruchi 

Can you provide the 2 domains in question so we can look at the DNS setup - also what service are you using for the email??