EXHIBIT 31.1





CERTIFICATION PURSUANT TO SECTION 302 OF THE SARBANES-OXLEY ACT OF
2002





I, Frank B. Manning, Chief Executive Officer, and Acting Chief
Financial Officer of Zoom Telephonics, Inc., certify
that:





1) I have
reviewed this Annual Report on Form 10-K/A of Zoom Telephonics,
Inc.;





2) Based
on my knowledge, this report does not contain any untrue statement
of a material fact or omit to state a material fact necessary to
make the statements made, in light of the circumstances under which
such statements were made, not misleading with respect to the
period covered by this report;





3) Based
on my knowledge, the financial statements, and other financial
information included in this report, fairly present in all material
respects the financial condition, results of operations and cash
flows of the registrant as of, and for, the periods presented in
this report;





4) As the
registrant's certifying officer, I am responsible for establishing
and maintaining disclosure controls and procedures (as defined in
Exchange Act Rules 13a–15(e) and 15d–15(e)) and
internal control over financial reporting (as defined in Exchange
Act Rules 13a–15(f) and 15d–15(f)) for the registrant
and have:





a) Designed such disclosure controls and procedures,
or caused such disclosure controls and procedures to be designed
under our supervision, to ensure that material information relating
to the registrant, including its consolidated subsidiaries, is made
known to us by others within those entities, particularly during
the period in which this report is being
prepared;





b) Designed such internal control over financial
reporting, or caused such internal control over financial reporting
to be designed under our supervision, to provide reasonable
assurance regarding the reliability of financial reporting and the
preparation of financial statements for external purposes in
accordance with generally accepted accounting
principles;





c) Evaluated the effectiveness of the
registrant’s disclosure controls and procedures and presented
in this report our conclusions about the effectiveness of the
disclosure controls and procedures, as of the end of the period
covered by this report based on such evaluation;
and





d) Disclosed in this report any change in the
registrant's internal control over financial reporting that
occurred during the registrant’s most recent fiscal quarter
(the registrant's fourth fiscal quarter in the case of an annual
report) that has materially affected, or is reasonably likely to
materially affect, the registrant's internal control over financial
reporting; and





5) As the
registrant's certifying officer, I have disclosed, based on our
most recent evaluation of internal control over financial
reporting, to the registrant's auditors and the audit committee of
registrant's board of directors (or persons performing the
equivalent functions):





a) All
significant deficiencies and material weaknesses in the design or
operation of internal control over financial reporting which are
reasonably likely to adversely affect the registrant’s
ability to record, process, summarize and report financial
information; and





b) Any
fraud, whether or not material, that involves management or other
employees who have a significant role in the registrant’s
internal control over financial reporting.





Date:
April 30, 2019
By:
/s/
Frank B.
ManningFrank
B. Manning
Chief
Executive Officer
and
Acting Chief Financial Officer
(Principal
Executive Officer and
Principal
Financial and Accounting Officer)