Yes this would generally be considered compensation and subject to employment taxes. (FICA and Medicare)
The only time it would not be considered part of your compensation is when you would use a company car for business purposes. This would be a "working condition" fringe benefit.
The fact that the company is paying part of your personal car lease would definitely be considered compensation which would be subject to employment taxes.
If you used the car for business purposes then you could get your employer to reimburse you for these costs so long as the employer had a written reimbursable plan.
This reimbursement would not be considered compensation and thus not subject to taxation.
I hope this helps, please let me know if you have any further questions.
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