Initial Statement of Beneficial Ownership (3)

FORM 3	UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES	OMB APPROVAL OMB Number: 3235-0104 Estimated average burden hours per response... 0.5
	Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940

1. Name and Address of Reporting Person * ALLISON JAMES D	2. Date of Event Requiring Statement (MM/DD/YYYY) 5/18/2018	3. Issuer Name and Ticker or Trading Symbol INSPERITY, INC. [NSP]
(Last)        (First)        (Middle) 19001 CRESCENT SPRINGS DRIVE	4. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director                            _____ 10% Owner ___ X ___ Officer (give title below)          _____ Other (specify below) SVP of Gross Profit Operations /
(Street) KINGWOOD, TX 77339        (City)              (State)              (Zip)	5. If Amendment, Date Original Filed (MM/DD/YYYY)	6. Individual or Joint/Group Filing (Check Applicable Line) _ X _ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Beneficially Owned
1.Title of Security (Instr. 4)	2. Amount of Securities Beneficially Owned (Instr. 4)	3. Ownership Form: Direct (D) or Indirect (I) (Instr. 5)	4. Nature of Indirect Beneficial Ownership (Instr. 5)
Common Stock	30087	D

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security (Instr. 4)	2. Date Exercisable and Expiration Date (MM/DD/YYYY)		3. Title and Amount of Securities Underlying Derivative Security (Instr. 4)		4. Conversion or Exercise Price of Derivative Security	5. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 5)	6. Nature of Indirect Beneficial Ownership (Instr. 5)
	Date Exercisable	Expiration Date	Title	Amount or Number of Shares
Phantom Stock Performance Units (Stock Settled)	(1)	(1)	Common Stock	8730	(2)	D

Explanation of Responses:
(1)	The phantom stock performance units vest at the end of the three-year award cycle period following certification in accordance with the Insperity, Inc. Long-Term Incentive Program (the "LTIP") of the achievement of all performance goals for the performance periods applicable to such award.
(2)	Each phantom stock performance unit represents a contingent right to receive one share of Common Stock pursuant to the terms of the LTIP based on a three-year performance period award cycle.

Remarks: Exhibit List: Exhibit 24 - Power of Attorney

Reporting Owners
Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
ALLISON JAMES D 19001 CRESCENT SPRINGS DRIVE KINGWOOD, TX 77339			SVP of Gross Profit Operations

Signatures
/s/ Daniel D. Herink, by Power of Attorney		5/25/2018
** Signature of Reporting Person		Date

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
*	If the form is filed by more than one reporting person, see Instruction 5(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
Note:	File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
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