Career Advancement through New Skills Act This bill amends the Internal Revenue Code to allow a tax credit for employers that is equal to 25% of the qualified education and training expenses paid or incurred for employees. The expenses taken into account for the credit may not exceed $5,000 with respect to any employee for any taxable year. "Qualified education and training expenses" must be for a program specifically designed to maintain or improve skills of the employee which are necessary or useful either: (1) in the employee's current position with the employer, or (2) in another position with the employer to which the employer reasonably anticipates the employee may transfer. The credit does not apply to expenses for education or training programs that are provided by the employer or by certain family members or business partners of the employer.