Exhibit 99.906.CERT

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Mitchell E. Appel, President of the Value Line Core Bond Fund (the “Registrant”), certify that:

1. The periodic report on Form N-CSR of the Registrant for the period ended 12/31/16 (the “Form N-CSR”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, and

2. The information contained in the Form N-CSR fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date: March 8, 2017

By:	/s/ Mitchell E. Appel
	Mitchell E. Appel
	President
	Value Line Core Bond Fund

Exhibit 99.906.CERT

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350 AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, Emily D. Washington, Treasurer of the Value Line Core Bond Fund (the “Registrant”), certify that:

1. The periodic report on Form N-CSR of the Registrant for the period ended 12/31/16 (the “Form N-CSR”) fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, and

2. The information contained in the Form N-CSR fairly presents, in all material respects, the financial condition and results of operations of the Registrant.

Date: March 8, 2017

By:	/s/ Emily D. Washington
	Emily D. Washington
	Treasurer
	Value Line Core Bond Fund