An equipment lease agreement is a legal contract where the owner allows another party (lessee) to use equipment in exchange for payment. Download a free equipment rental agreement template, and view sample lease and leasetoown agreements for construction equipment.THIS AGREEMENT TO LEASE EQUIPMENT ("Lease") is made and effective. Discover what an equipment rental agreement is, what you should include in one, and download our free rental agreement template to get you started. Next, detail the specific rental equipment you wish to hire. All of the forms listed below are in Adobe Acrobat PDF (PDF) format. Customize LawDepot's Equipment Rental Agreement template to suit your needs. Simply answer our questionnaire to generate your document. You can edit our large library of pre-existing files and upload your own documents. Managing PDFs has never been easier. thumbnail.