Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

1^ST Constitution Bancorp

Cranbury, New Jersey

We hereby consent to the incorporation by reference in the Forms S-8 (No. 333-188843, No. 333-184412, No. 333-132474, and No. 333-204552) of 1^ST Constitution Bancorp of our reports dated March 14, 2019, relating to the consolidated financial statements and effectiveness of 1^ST Constitution Bancorp’s internal control over financial reporting, which are incorporated by reference in this Annual Report on Form 10-K.

/s/ BDO USA, LLP

Woodbridge, New Jersey

March 15, 2019